456813954 has 48 divisors (see below), whose sum is σ = 1027563264. Its totient is φ = 146512800.

The previous prime is 456813911. The next prime is 456814019. The reversal of 456813954 is 459318654.

456813954 is a `hidden beast` number, since 4 + 568 + 1 + 39 + 54 = 666.

It is a super-2 number, since 2×456813954² = 417357977138228232, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98737 + ... + 103259.

It is an arithmetic number, because the mean of its divisors is an integer number (21407568).

Almost surely, 2^456813954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456813954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513781632).

456813954 is an abundant number, since it is smaller than the sum of its proper divisors (570749310).

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

456813954 is a wasteful number, since it uses less digits than its factorization.

456813954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743 (or 4740 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 456813954 is about 21373.2064510686. The cubic root of 456813954 is about 770.1579222949.

The spelling of 456813954 in words is "four hundred fifty-six million, eight hundred thirteen thousand, nine hundred fifty-four".