456454640 has 80 divisors (see below), whose sum is σ = 1093055040. Its totient is φ = 177162240.

The previous prime is 456454639. The next prime is 456454667. The reversal of 456454640 is 46454654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 456454594 and 456454603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039541 + ... + 1039979.

It is an arithmetic number, because the mean of its divisors is an integer number (13663188).

Almost surely, 2^456454640 is an apocalyptic number.

456454640 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 456454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546527520).

456454640 is an abundant number, since it is smaller than the sum of its proper divisors (636600400).

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

456454640 is a wasteful number, since it uses less digits than its factorization.

456454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 456454640 is about 21364.7990863476. The cubic root of 456454640 is about 769.9559428326.

The spelling of 456454640 in words is "four hundred fifty-six million, four hundred fifty-four thousand, six hundred forty".