432825120 has 480 divisors, whose sum is σ = 1885137408. Its totient is φ = 91072512.

The previous prime is 432825101. The next prime is 432825137. The reversal of 432825120 is 21528234.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179177 + ... + 1179543.

Almost surely, 2^432825120 is an apocalyptic number.

432825120 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 432825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942568704).

432825120 is an abundant number, since it is smaller than the sum of its proper divisors (1452312288).

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

432825120 is a wasteful number, since it uses less digits than its factorization.

432825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 432825120 is about 20804.4495240802. The cubic root of 432825120 is about 756.4336136815.

The spelling of 432825120 in words is "four hundred thirty-two million, eight hundred twenty-five thousand, one hundred twenty".