456011280 has 120 divisors (see below), whose sum is σ = 1543805952. Its totient is φ = 120621312.

The previous prime is 456011279. The next prime is 456011287. The reversal of 456011280 is 82110654.

456011280 is a `hidden beast` number, since 45 + 601 + 12 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (456011287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88947 + ... + 93933.

Almost surely, 2^456011280 is an apocalyptic number.

456011280 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 456011280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771902976).

456011280 is an abundant number, since it is smaller than the sum of its proper divisors (1087794672).

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

456011280 is a wasteful number, since it uses less digits than its factorization.

456011280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 456011280 is about 21354.4206196282. The cubic root of 456011280 is about 769.7065728540.

The spelling of 456011280 in words is "four hundred fifty-six million, eleven thousand, two hundred eighty".