432278720 has 112 divisors (see below), whose sum is σ = 1097828640. Its totient is φ = 161562624.

The previous prime is 432278713. The next prime is 432278761. The reversal of 432278720 is 27872234.

It is a super-3 number, since 3×432278720³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245587 + ... + 1245933.

Almost surely, 2^432278720 is an apocalyptic number.

432278720 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 432278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548914320).

432278720 is an abundant number, since it is smaller than the sum of its proper divisors (665549920).

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

432278720 is a wasteful number, since it uses less digits than its factorization.

432278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 432278720 is about 20791.3135708161. The cubic root of 432278720 is about 756.1151714647.

The spelling of 432278720 in words is "four hundred thirty-two million, two hundred seventy-eight thousand, seven hundred twenty".