352400000 has 96 divisors (see below), whose sum is σ = 878498460. Its totient is φ = 140800000.

The previous prime is 352399963. The next prime is 352400023. The reversal of 352400000 is 4253.

It can be written as a sum of positive squares in 6 ways, for example, as 90478144 + 261921856 = 9512^2 + 16184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399560 + ... + 400440.

Almost surely, 2^352400000 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 352400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439249230).

352400000 is an abundant number, since it is smaller than the sum of its proper divisors (526098460).

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

352400000 is an frugal number, since it uses more digits than its factorization.

352400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 352400000 is about 18772.3200484117. The cubic root of 352400000 is about 706.3370164535.

Adding to 352400000 its reverse (4253), we get a palindrome (352404253).

The spelling of 352400000 in words is "three hundred fifty-two million, four hundred thousand".