359472 has 20 divisors (see below), whose sum is σ = 928760. Its totient is φ = 119808.

The previous prime is 359449. The next prime is 359477. The reversal of 359472 is 274953.

It is a d-powerful number, because it can be written as 3⁷ + 5⁷ + 4⁹ + 9² + 7⁵ + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (359477) by changing a digit.

359472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3697 + ... + 3792.

It is an arithmetic number, because the mean of its divisors is an integer number (46438).

2³⁵⁹⁴⁷² is an apocalyptic number.

It is an amenable number.

359472 is an abundant number, since it is smaller than the sum of its proper divisors (569288).

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

359472 is a wasteful number, since it uses less digits than its factorization.

359472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 7494 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 359472 is about 599.5598385482. The cubic root of 359472 is about 71.1030705608.

The spelling of 359472 in words is "three hundred fifty-nine thousand, four hundred seventy-two".