456683040 has 216 divisors, whose sum is σ = 1713639564. Its totient is φ = 110668800.

The previous prime is 456683023. The next prime is 456683083. The reversal of 456683040 is 40386654.

It can be written as a sum of positive squares in 2 ways, for example, as 451647504 + 5035536 = 21252^2 + 2244^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 456682986 and 456683004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172930 + ... + 175550.

Almost surely, 2^456683040 is an apocalyptic number.

456683040 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 456683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856819782).

456683040 is an abundant number, since it is smaller than the sum of its proper divisors (1256956524).

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

456683040 is a wasteful number, since it uses less digits than its factorization.

456683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 456683040 is about 21370.1436588526. The cubic root of 456683040 is about 770.0843445022.

The spelling of 456683040 in words is "four hundred fifty-six million, six hundred eighty-three thousand, forty".