432925272 has 144 divisors (see below), whose sum is σ = 1298363040. Its totient is φ = 130201344.

The previous prime is 432925249. The next prime is 432925301. The reversal of 432925272 is 272529234.

432925272 is a `hidden beast` number, since 43 + 2 + 92 + 527 + 2 = 666.

It is a super-2 number, since 2×432925272² = 374848582272547968, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 571518 + ... + 572274.

It is an arithmetic number, because the mean of its divisors is an integer number (9016410).

Almost surely, 2^432925272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432925272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649181520).

432925272 is an abundant number, since it is smaller than the sum of its proper divisors (865437768).

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

432925272 is a wasteful number, since it uses less digits than its factorization.

432925272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 822 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 432925272 is about 20806.8563699565. The cubic root of 432925272 is about 756.4919532535.

The spelling of 432925272 in words is "four hundred thirty-two million, nine hundred twenty-five thousand, two hundred seventy-two".