352424000 has 56 divisors (see below), whose sum is σ = 872797848. Its totient is φ = 140966400.

The previous prime is 352423999. The next prime is 352424011. The reversal of 352424000 is 424253.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 349241344 = 1784^2 + 18688^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14027 + ... + 30026.

Almost surely, 2^352424000 is an apocalyptic number.

It is an amenable number.

352424000 is an abundant number, since it is smaller than the sum of its proper divisors (520373848).

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

352424000 is an equidigital number, since it uses as much as digits as its factorization.

352424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44080 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 352424000 is about 18772.9592765765. The cubic root of 352424000 is about 706.3530509821.

Adding to 352424000 its reverse (424253), we get a palindrome (352848253).

The spelling of 352424000 in words is "three hundred fifty-two million, four hundred twenty-four thousand".