432749520 has 160 divisors (see below), whose sum is σ = 1703581440. Its totient is φ = 98910720.

The previous prime is 432749519. The next prime is 432749543. The reversal of 432749520 is 25947234.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 810 + ... + 29430.

It is an arithmetic number, because the mean of its divisors is an integer number (10647384).

Almost surely, 2^432749520 is an apocalyptic number.

432749520 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 432749520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851790720).

432749520 is an abundant number, since it is smaller than the sum of its proper divisors (1270831920).

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

432749520 is a wasteful number, since it uses less digits than its factorization.

432749520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28650 (or 28638 counting only the distinct ones).

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

The square root of 432749520 is about 20802.6325257165. The cubic root of 432749520 is about 756.3895699416.

The spelling of 432749520 in words is "four hundred thirty-two million, seven hundred forty-nine thousand, five hundred twenty".