456811080 has 128 divisors (see below), whose sum is σ = 1583038080. Its totient is φ = 104222720.

The previous prime is 456811057. The next prime is 456811087. The reversal of 456811080 is 80118654.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (456811087) 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 31 ways as a sum of consecutive naturals, for example, 12262 + ... + 32618.

It is an arithmetic number, because the mean of its divisors is an integer number (12367485).

Almost surely, 2^456811080 is an apocalyptic number.

456811080 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 456811080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791519040).

456811080 is an abundant number, since it is smaller than the sum of its proper divisors (1126227000).

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

456811080 is a wasteful number, since it uses less digits than its factorization.

456811080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20399 (or 20395 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 456811080 is about 21373.1392172512. The cubic root of 456811080 is about 770.1563071673.

The spelling of 456811080 in words is "four hundred fifty-six million, eight hundred eleven thousand, eighty".