431552016 has 480 divisors, whose sum is σ = 1611504000. Its totient is φ = 109734912.

The previous prime is 431551963. The next prime is 431552027. The reversal of 431552016 is 610255134.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11663550 + ... + 11663586.

It is an arithmetic number, because the mean of its divisors is an integer number (3357300).

Almost surely, 2^431552016 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 431552016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805752000).

431552016 is an abundant number, since it is smaller than the sum of its proper divisors (1179951984).

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

431552016 is a wasteful number, since it uses less digits than its factorization.

431552016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 431552016 is about 20773.8300753616. The cubic root of 431552016 is about 755.6912319338.

The spelling of 431552016 in words is "four hundred thirty-one million, five hundred fifty-two thousand, sixteen".