456805440 has 672 divisors, whose sum is σ = 2043135360. Its totient is φ = 95219712.

The previous prime is 456805439. The next prime is 456805471. The reversal of 456805440 is 44508654.

456805440 is a `hidden beast` number, since 4 + 568 + 0 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 456805395 and 456805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503639 + ... + 5503721.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^456805440 is an apocalyptic number.

456805440 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 456805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021567680).

456805440 is an abundant number, since it is smaller than the sum of its proper divisors (1586329920).

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

456805440 is a wasteful number, since it uses less digits than its factorization.

456805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 456805440 is about 21373.0072755333. The cubic root of 456805440 is about 770.1531375861.

The spelling of 456805440 in words is "four hundred fifty-six million, eight hundred five thousand, four hundred forty".