357968520 has 384 divisors, whose sum is σ = 1467648000. Its totient is φ = 75188736.

The previous prime is 357968483. The next prime is 357968549. The reversal of 357968520 is 25869753.

It is a happy number.

357968520 is a `hidden beast` number, since 35 + 7 + 96 + 8 + 520 = 666.

357968520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×357968520² = 256282922621980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605129 + ... + 1605351.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^357968520 is an apocalyptic number.

357968520 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 357968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

357968520 is an abundant number, since it is smaller than the sum of its proper divisors (1109679480).

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

357968520 is a wasteful number, since it uses less digits than its factorization.

357968520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 357968520 is about 18920.0560252870. The cubic root of 357968520 is about 710.0380327441.

The spelling of 357968520 in words is "three hundred fifty-seven million, nine hundred sixty-eight thousand, five hundred twenty".