220456431 has 32 divisors (see below), whose sum is σ = 352800000. Its totient is φ = 135251424.

The previous prime is 220456429. The next prime is 220456441. The reversal of 220456431 is 134654022.

220456431 is a `hidden beast` number, since 220 + 4 + 5 + 6 + 431 = 666.

It is not a de Polignac number, because 220456431 - 2¹ = 220456429 is a prime.

It is a super-2 number, since 2×220456431² = 97202075938515522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220456395 and 220456404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220456421) 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, 146320 + ... + 147818.

It is an arithmetic number, because the mean of its divisors is an integer number (11025000).

Almost surely, 2^220456431 is an apocalyptic number.

220456431 is a deficient number, since it is larger than the sum of its proper divisors (132343569).

220456431 is a wasteful number, since it uses less digits than its factorization.

220456431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 220456431 is about 14847.7752879009. The cubic root of 220456431 is about 604.0982682605.

The spelling of 220456431 in words is "two hundred twenty million, four hundred fifty-six thousand, four hundred thirty-one".