456078720 has 256 divisors, whose sum is σ = 1566475200. Its totient is φ = 112459776.

The previous prime is 456078709. The next prime is 456078767. The reversal of 456078720 is 27870654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2904882 + ... + 2905038.

Almost surely, 2^456078720 is an apocalyptic number.

456078720 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 456078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783237600).

456078720 is an abundant number, since it is smaller than the sum of its proper divisors (1110396480).

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

456078720 is a wasteful number, since it uses less digits than its factorization.

456078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 456078720 is about 21355.9996253980. Note that the first 3 decimals coincide. The cubic root of 456078720 is about 769.7445152287.

The spelling of 456078720 in words is "four hundred fifty-six million, seventy-eight thousand, seven hundred twenty".