432416556 has 336 divisors, whose sum is σ = 1434470688. Its totient is φ = 111974400.

The previous prime is 432416549. The next prime is 432416563. The reversal of 432416556 is 655614234.

It is an interprime number because it is at equal distance from previous prime (432416549) and next prime (432416563).

It is a super-2 number, since 2×432416556² = 373968155805802272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 432416556.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7088766 + ... + 7088826.

It is an arithmetic number, because the mean of its divisors is an integer number (4269258).

Almost surely, 2^432416556 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 432416556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717235344).

432416556 is an abundant number, since it is smaller than the sum of its proper divisors (1002054132).

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

432416556 is a wasteful number, since it uses less digits than its factorization.

432416556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 432416556 is about 20794.6280563034. The cubic root of 432416556 is about 756.1955276567.

The spelling of 432416556 in words is "four hundred thirty-two million, four hundred sixteen thousand, five hundred fifty-six".