432765120 has 56 divisors (see below), whose sum is σ = 1374032304. Its totient is φ = 115403776.

The previous prime is 432765083. The next prime is 432765121. The reversal of 432765120 is 21567234.

It is a super-2 number, since 2×432765120² = 374571298177228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (432765121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224439 + ... + 226358.

Almost surely, 2^432765120 is an apocalyptic number.

432765120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432765120 is an abundant number, since it is smaller than the sum of its proper divisors (941267184).

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

432765120 is a wasteful number, since it uses less digits than its factorization.

432765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450817 (or 450807 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 432765120 is about 20803.0074748821. The cubic root of 432765120 is about 756.3986587524.

The spelling of 432765120 in words is "four hundred thirty-two million, seven hundred sixty-five thousand, one hundred twenty".