431260416 has 144 divisors (see below), whose sum is σ = 1305870720. Its totient is φ = 140313600.

The previous prime is 431260411. The next prime is 431260439. The reversal of 431260416 is 614062134.

431260416 is a `hidden beast` number, since 43 + 1 + 2 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 431260416.

It is not an unprimeable number, because it can be changed into a prime (431260411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296491 + ... + 297941.

Almost surely, 2^431260416 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 431260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652935360).

431260416 is an abundant number, since it is smaller than the sum of its proper divisors (874610304).

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

431260416 is a wasteful number, since it uses less digits than its factorization.

431260416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 431260416 is about 20766.8104435900. The cubic root of 431260416 is about 755.5209865512.

The spelling of 431260416 in words is "four hundred thirty-one million, two hundred sixty thousand, four hundred sixteen".