456787980 has 144 divisors (see below), whose sum is σ = 1518779808. Its totient is φ = 110208000.

The previous prime is 456787979. The next prime is 456787993. The reversal of 456787980 is 89787654.

456787980 is a `hidden beast` number, since 4 + 567 + 8 + 79 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555970 + ... + 556790.

It is an arithmetic number, because the mean of its divisors is an integer number (10547082).

Almost surely, 2^456787980 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 456787980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759389904).

456787980 is an abundant number, since it is smaller than the sum of its proper divisors (1061991828).

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

456787980 is a wasteful number, since it uses less digits than its factorization.

456787980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 456787980 is about 21372.5988124982. The cubic root of 456787980 is about 770.1433252065.

The spelling of 456787980 in words is "four hundred fifty-six million, seven hundred eighty-seven thousand, nine hundred eighty".