431386560 has 560 divisors, whose sum is σ = 1792406880. Its totient is φ = 97320960.

The previous prime is 431386547. The next prime is 431386561. The reversal of 431386560 is 65683134.

431386560 is a `hidden beast` number, since 4 + 3 + 13 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431386561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846996 + ... + 4847084.

Almost surely, 2^431386560 is an apocalyptic number.

431386560 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 431386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896203440).

431386560 is an abundant number, since it is smaller than the sum of its proper divisors (1361020320).

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

431386560 is a wasteful number, since it uses less digits than its factorization.

431386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 431386560 is about 20769.8473754623. The cubic root of 431386560 is about 755.5946428580.

431386560 divided by its sum of digits (36) gives a triangular number (11982960 = T₄₈₉₅).

The spelling of 431386560 in words is "four hundred thirty-one million, three hundred eighty-six thousand, five hundred sixty".