352418880 has 224 divisors, whose sum is σ = 1274600448. Its totient is φ = 81664000.

The previous prime is 352418873. The next prime is 352418887. The reversal of 352418880 is 88814253.

It is an interprime number because it is at equal distance from previous prime (352418873) and next prime (352418887).

It is not an unprimeable number, because it can be changed into a prime (352418887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242155 + ... + 243605.

Almost surely, 2^352418880 is an apocalyptic number.

352418880 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 352418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637300224).

352418880 is an abundant number, since it is smaller than the sum of its proper divisors (922181568).

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

352418880 is a wasteful number, since it uses less digits than its factorization.

352418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 352418880 is about 18772.8229097278. The cubic root of 352418880 is about 706.3496303437.

The spelling of 352418880 in words is "three hundred fifty-two million, four hundred eighteen thousand, eight hundred eighty".