456723456 has 176 divisors, whose sum is σ = 1416458496. Its totient is φ = 128139264.

The previous prime is 456723439. The next prime is 456723461. The reversal of 456723456 is 654327654.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1440610 + ... + 1440926.

Almost surely, 2^456723456 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 456723456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708229248).

456723456 is an abundant number, since it is smaller than the sum of its proper divisors (959735040).

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

456723456 is a wasteful number, since it uses less digits than its factorization.

456723456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 456723456 is about 21371.0892562827. The cubic root of 456723456 is about 770.1070610679.

The spelling of 456723456 in words is "four hundred fifty-six million, seven hundred twenty-three thousand, four hundred fifty-six".