355145940 has 36 divisors (see below), whose sum is σ = 1077276564. Its totient is φ = 94705536.

The previous prime is 355145939. The next prime is 355145941. The reversal of 355145940 is 49541553.

355145940 is a `hidden beast` number, since 3 + 55 + 14 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (355145939) and next prime (355145941).

It can be written as a sum of positive squares in 2 ways, for example, as 269879184 + 85266756 = 16428^2 + 9234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×355145940² = 252257277396967200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 355145895 and 355145904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355145941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 986337 + ... + 986696.

It is an arithmetic number, because the mean of its divisors is an integer number (29924349).

Almost surely, 2^355145940 is an apocalyptic number.

355145940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355145940 is an abundant number, since it is smaller than the sum of its proper divisors (722130624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

355145940 is a wasteful number, since it uses less digits than its factorization.

355145940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973048 (or 1973043 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 355145940 is about 18845.3161289483. The cubic root of 355145940 is about 708.1668906582.

The spelling of 355145940 in words is "three hundred fifty-five million, one hundred forty-five thousand, nine hundred forty".