456243840 has 320 divisors, whose sum is σ = 1757253960. Its totient is φ = 112140288.

The previous prime is 456243829. The next prime is 456243857. The reversal of 456243840 is 48342654.

It can be written as a sum of positive squares in 4 ways, for example, as 415181376 + 41062464 = 20376^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 = 456243795 and 456243804.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 673582 + ... + 674258.

Almost surely, 2^456243840 is an apocalyptic number.

456243840 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 456243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878626980).

456243840 is an abundant number, since it is smaller than the sum of its proper divisors (1301010120).

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

456243840 is a wasteful number, since it uses less digits than its factorization.

456243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 456243840 is about 21359.8651681138. The cubic root of 456243840 is about 769.8373974975.

The spelling of 456243840 in words is "four hundred fifty-six million, two hundred forty-three thousand, eight hundred forty".