355665420 has 144 divisors (see below), whose sum is σ = 1183133952. Its totient is φ = 85768320.

The previous prime is 355665407. The next prime is 355665421. The reversal of 355665420 is 24566553.

It is a happy number.

355665420 is a `hidden beast` number, since 3 + 55 + 66 + 542 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355665421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520399 + ... + 521081.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2^355665420 is an apocalyptic number.

355665420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355665420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591566976).

355665420 is an abundant number, since it is smaller than the sum of its proper divisors (827468532).

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

355665420 is a wasteful number, since it uses less digits than its factorization.

355665420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 355665420 is about 18859.0938276472. The cubic root of 355665420 is about 708.5120063533.

The spelling of 355665420 in words is "three hundred fifty-five million, six hundred sixty-five thousand, four hundred twenty".