432875520 has 576 divisors, whose sum is σ = 1901128320. Its totient is φ = 88473600.

The previous prime is 432875503. The next prime is 432875549. The reversal of 432875520 is 25578234.

432875520 is a `hidden beast` number, since 43 + 28 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×432875520³ (a number of 27 digits) contains 333 as substring.

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

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, 7096290 + ... + 7096350.

It is an arithmetic number, because the mean of its divisors is an integer number (3300570).

Almost surely, 2^432875520 is an apocalyptic number.

432875520 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 432875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950564160).

432875520 is an abundant number, since it is smaller than the sum of its proper divisors (1468252800).

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

432875520 is a wasteful number, since it uses less digits than its factorization.

432875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 432875520 is about 20805.6607681660. The cubic root of 432875520 is about 756.4629733256.

The spelling of 432875520 in words is "four hundred thirty-two million, eight hundred seventy-five thousand, five hundred twenty".