351572480 has 160 divisors (see below), whose sum is σ = 1006435584. Its totient is φ = 115163136.

The previous prime is 351572471. The next prime is 351572489. The reversal of 351572480 is 84275153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (351572471) and next prime (351572489).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 351572480.

It is not an unprimeable number, because it can be changed into a prime (351572489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411734 + ... + 412586.

Almost surely, 2^351572480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503217792).

351572480 is an abundant number, since it is smaller than the sum of its proper divisors (654863104).

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

351572480 is an equidigital number, since it uses as much as digits as its factorization.

351572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 351572480 is about 18750.2661314446. The cubic root of 351572480 is about 705.7837000257.

The spelling of 351572480 in words is "three hundred fifty-one million, five hundred seventy-two thousand, four hundred eighty".