355625040 has 160 divisors (see below), whose sum is σ = 1180210176. Its totient is φ = 88268800.

The previous prime is 355625027. The next prime is 355625051. The reversal of 355625040 is 40526553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 355624989 and 355625007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 411649 + ... + 412511.

Almost surely, 2^355625040 is an apocalyptic number.

355625040 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 355625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590105088).

355625040 is an abundant number, since it is smaller than the sum of its proper divisors (824585136).

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

355625040 is a wasteful number, since it uses less digits than its factorization.

355625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 355625040 is about 18858.0232262027. The cubic root of 355625040 is about 708.4851920160.

The spelling of 355625040 in words is "three hundred fifty-five million, six hundred twenty-five thousand, forty".