432748008 has 384 divisors, whose sum is σ = 1572480000. Its totient is φ = 110496960.

The previous prime is 432747983. The next prime is 432748027. The reversal of 432748008 is 800847234.

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 95 ways as a sum of consecutive naturals, for example, 7334683 + ... + 7334741.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2^432748008 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 432748008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

432748008 is an abundant number, since it is smaller than the sum of its proper divisors (1139731992).

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

432748008 is a wasteful number, since it uses less digits than its factorization.

432748008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 432748008 is about 20802.5961841305. The cubic root of 432748008 is about 756.3886890145.

The spelling of 432748008 in words is "four hundred thirty-two million, seven hundred forty-eight thousand, eight".