432915120 has 240 divisors, whose sum is σ = 1621181952. Its totient is φ = 102627840.

The previous prime is 432915107. The next prime is 432915121. The reversal of 432915120 is 21519234.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×432915120² = 374831002249228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432915121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371659 + ... + 372821.

Almost surely, 2^432915120 is an apocalyptic number.

432915120 is a gapful number since it is divisible by the number (40) 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 432915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810590976).

432915120 is an abundant number, since it is smaller than the sum of its proper divisors (1188266832).

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

432915120 is a wasteful number, since it uses less digits than its factorization.

432915120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 432915120 is about 20806.6124104814. The cubic root of 432915120 is about 756.4860400187.

The spelling of 432915120 in words is "four hundred thirty-two million, nine hundred fifteen thousand, one hundred twenty".