456001631 has 8 divisors (see below), whose sum is σ = 467879328. Its totient is φ = 444160000.

The previous prime is 456001621. The next prime is 456001639. The reversal of 456001631 is 136100654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456001631 - 2²⁶ = 388892767 is a prime.

It is a super-2 number, since 2×456001631² = 415874974949320322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456001631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456001639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17606 + ... + 34956.

It is an arithmetic number, because the mean of its divisors is an integer number (58484916).

Almost surely, 2^456001631 is an apocalyptic number.

456001631 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

456001631 is a deficient number, since it is larger than the sum of its proper divisors (11877697).

456001631 is a wasteful number, since it uses less digits than its factorization.

456001631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 456001631 is about 21354.1946933149. The cubic root of 456001631 is about 769.7011439305.

The spelling of 456001631 in words is "four hundred fifty-six million, one thousand, six hundred thirty-one".