456063372 has 144 divisors (see below), whose sum is σ = 1247500800. Its totient is φ = 145582272.

The previous prime is 456063341. The next prime is 456063373. The reversal of 456063372 is 273360654.

456063372 is a `hidden beast` number, since 4 + 560 + 63 + 37 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (456063373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060754 + ... + 3060902.

It is an arithmetic number, because the mean of its divisors is an integer number (8663200).

Almost surely, 2^456063372 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 456063372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623750400).

456063372 is an abundant number, since it is smaller than the sum of its proper divisors (791437428).

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

456063372 is a wasteful number, since it uses less digits than its factorization.

456063372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 456063372 is about 21355.6402854141. The cubic root of 456063372 is about 769.7358806291.

The spelling of 456063372 in words is "four hundred fifty-six million, sixty-three thousand, three hundred seventy-two".