456633540 has 144 divisors (see below), whose sum is σ = 1519592256. Its totient is φ = 110073600.

The previous prime is 456633533. The next prime is 456633563. The reversal of 456633540 is 45336654.

456633540 is a `hidden beast` number, since 4 + 56 + 63 + 3 + 540 = 666.

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 = 456633495 and 456633504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417234 + ... + 418326.

It is an arithmetic number, because the mean of its divisors is an integer number (10552724).

Almost surely, 2^456633540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456633540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759796128).

456633540 is an abundant number, since it is smaller than the sum of its proper divisors (1062958716).

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

456633540 is a wasteful number, since it uses less digits than its factorization.

456633540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 456633540 is about 21368.9854696006. The cubic root of 456633540 is about 770.0565202791.

The spelling of 456633540 in words is "four hundred fifty-six million, six hundred thirty-three thousand, five hundred forty".