332432400 has 120 divisors (see below), whose sum is σ = 1073091040. Its totient is φ = 87966720.

The previous prime is 332432393. The next prime is 332432411. The reversal of 332432400 is 4234233.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×332432400² = 221022601139520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165804 + ... + 167796.

Almost surely, 2^332432400 is an apocalyptic number.

332432400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536545520).

332432400 is an abundant number, since it is smaller than the sum of its proper divisors (740658640).

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

332432400 is a wasteful number, since it uses less digits than its factorization.

332432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 332432400 is about 18232.7288138666. The cubic root of 332432400 is about 692.7360384319.

Adding to 332432400 its reverse (4234233), we get a palindrome (336666633).

The spelling of 332432400 in words is "three hundred thirty-two million, four hundred thirty-two thousand, four hundred".