357438960 has 160 divisors (see below), whose sum is σ = 1241825280. Its totient is φ = 94493952.

The previous prime is 357438947. The next prime is 357439057. The reversal of 357438960 is 69834753.

It is a super-2 number, since 2×357438960² = 255525220251763200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273669 + ... + 274971.

It is an arithmetic number, because the mean of its divisors is an integer number (7761408).

Almost surely, 2^357438960 is an apocalyptic number.

357438960 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 357438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620912640).

357438960 is an abundant number, since it is smaller than the sum of its proper divisors (884386320).

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

357438960 is a wasteful number, since it uses less digits than its factorization.

357438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 357438960 is about 18906.0561725602. The cubic root of 357438960 is about 709.6877288416.

The spelling of 357438960 in words is "three hundred fifty-seven million, four hundred thirty-eight thousand, nine hundred sixty".