431076416 has 42 divisors (see below), whose sum is σ = 886042170. Its totient is φ = 208079872.

The previous prime is 431076343. The next prime is 431076467. The reversal of 431076416 is 614670134.

It can be written as a sum of positive squares in 3 ways, for example, as 96040000 + 335036416 = 9800^2 + 18304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49820 + ... + 57828.

Almost surely, 2^431076416 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 431076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443021085).

431076416 is an abundant number, since it is smaller than the sum of its proper divisors (454965754).

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

431076416 is an equidigital number, since it uses as much as digits as its factorization.

431076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 431076416 is about 20762.3798250586. The cubic root of 431076416 is about 755.4135219878.

The spelling of 431076416 in words is "four hundred thirty-one million, seventy-six thousand, four hundred sixteen".