332010400 has 36 divisors (see below), whose sum is σ = 810522342. Its totient is φ = 132803840.

The previous prime is 332010311. The next prime is 332010409. The reversal of 332010400 is 4010233.

It can be written as a sum of positive squares in 3 ways, for example, as 168272784 + 163737616 = 12972^2 + 12796^2 .

It is a super-2 number, since 2×332010400² = 220461811416320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332010409) 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, 206707 + ... + 208306.

Almost surely, 2^332010400 is an apocalyptic number.

It is an amenable number.

332010400 is an abundant number, since it is smaller than the sum of its proper divisors (478511942).

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

332010400 is a wasteful number, since it uses less digits than its factorization.

332010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415033 (or 415020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 332010400 is about 18221.1525431296. The cubic root of 332010400 is about 692.4427874380.

Adding to 332010400 its reverse (4010233), we get a palindrome (336020633).

The spelling of 332010400 in words is "three hundred thirty-two million, ten thousand, four hundred".