456781656 has 64 divisors (see below), whose sum is σ = 1220728320. Its totient is φ = 142081280.

The previous prime is 456781643. The next prime is 456781667. The reversal of 456781656 is 656187654.

It is an alternating number because its digits alternate between even and odd.

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, 12541 + ... + 32723.

It is an arithmetic number, because the mean of its divisors is an integer number (19073880).

Almost surely, 2^456781656 is an apocalyptic number.

456781656 is a gapful number since it is divisible by the number (46) 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 456781656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610364160).

456781656 is an abundant number, since it is smaller than the sum of its proper divisors (763946664).

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

456781656 is a wasteful number, since it uses less digits than its factorization.

456781656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20252 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 456781656 is about 21372.4508655418. The cubic root of 456781656 is about 770.1397711077.

The spelling of 456781656 in words is "four hundred fifty-six million, seven hundred eighty-one thousand, six hundred fifty-six".