456646151 has 32 divisors (see below), whose sum is σ = 538513920. Its totient is φ = 383846400.

The previous prime is 456646123. The next prime is 456646159. The reversal of 456646151 is 151646654.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 456646151 - 2²⁶ = 389537287 is a prime.

It is a super-2 number, since 2×456646151² = 417051414446229602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456646159) 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, 478691 + ... + 479643.

It is an arithmetic number, because the mean of its divisors is an integer number (16828560).

Almost surely, 2^456646151 is an apocalyptic number.

456646151 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

456646151 is a deficient number, since it is larger than the sum of its proper divisors (81867769).

456646151 is a wasteful number, since it uses less digits than its factorization.

456646151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its digits is 86400, while the sum is 38.

The square root of 456646151 is about 21369.2805447446. The cubic root of 456646151 is about 770.0636091827.

It can be divided in two parts, 45664 and 6151, that added together give a palindrome (51815).

The spelling of 456646151 in words is "four hundred fifty-six million, six hundred forty-six thousand, one hundred fifty-one".