352000400 has 30 divisors (see below), whose sum is σ = 845681922. Its totient is φ = 140800000.

The previous prime is 352000393. The next prime is 352000409. The reversal of 352000400 is 4000253.

It can be written as a sum of positive squares in 3 ways, for example, as 100080016 + 251920384 = 10004^2 + 15872^2 .

It is not an unprimeable number, because it can be changed into a prime (352000409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 439601 + ... + 440400.

Almost surely, 2^352000400 is an apocalyptic number.

It is an amenable number.

352000400 is an abundant number, since it is smaller than the sum of its proper divisors (493681522).

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

352000400 is a wasteful number, since it uses less digits than its factorization.

352000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880019 (or 880008 counting only the distinct ones).

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

The square root of 352000400 is about 18761.6736993265. The cubic root of 352000400 is about 706.0699345157.

Adding to 352000400 its reverse (4000253), we get a palindrome (356000653).

The spelling of 352000400 in words is "three hundred fifty-two million, four hundred", and thus it is an aban number.