431778816 has 352 divisors, whose sum is σ = 1540654080. Its totient is φ = 116785152.

The previous prime is 431778811. The next prime is 431778829. The reversal of 431778816 is 618877134.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (431778811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4451280 + ... + 4451376.

Almost surely, 2^431778816 is an apocalyptic number.

431778816 is a gapful number since it is divisible by the number (46) 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 431778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770327040).

431778816 is an abundant number, since it is smaller than the sum of its proper divisors (1108875264).

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

431778816 is a wasteful number, since it uses less digits than its factorization.

431778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 431778816 is about 20779.2881495012. The cubic root of 431778816 is about 755.8235919964.

The spelling of 431778816 in words is "four hundred thirty-one million, seven hundred seventy-eight thousand, eight hundred sixteen".