432925920 has 288 divisors, whose sum is σ = 1747811520. Its totient is φ = 95477760.

The previous prime is 432925903. The next prime is 432925973. The reversal of 432925920 is 29529234.

432925920 is a `hidden beast` number, since 43 + 29 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291580 + ... + 293060.

It is an arithmetic number, because the mean of its divisors is an integer number (6068790).

Almost surely, 2^432925920 is an apocalyptic number.

432925920 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 432925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

432925920 is an abundant number, since it is smaller than the sum of its proper divisors (1314885600).

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

432925920 is a wasteful number, since it uses less digits than its factorization.

432925920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 432925920 is about 20806.8719417408. The cubic root of 432925920 is about 756.4923306909.

The spelling of 432925920 in words is "four hundred thirty-two million, nine hundred twenty-five thousand, nine hundred twenty".