456030720 has 120 divisors (see below), whose sum is σ = 1579442436. Its totient is φ = 121602048.

The previous prime is 456030719. The next prime is 456030733. The reversal of 456030720 is 27030654.

It is a happy number.

456030720 is a `hidden beast` number, since 4 + 560 + 30 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 452157696 + 3873024 = 21264^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 11 ways as a sum of consecutive naturals, for example, 13144 + ... + 32936.

Almost surely, 2^456030720 is an apocalyptic number.

456030720 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 456030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789721218).

456030720 is an abundant number, since it is smaller than the sum of its proper divisors (1123411716).

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

456030720 is a wasteful number, since it uses less digits than its factorization.

456030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19822 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 456030720 is about 21354.8757898518. The cubic root of 456030720 is about 769.7175103635.

The spelling of 456030720 in words is "four hundred fifty-six million, thirty thousand, seven hundred twenty".