456573772480 has 56 divisors (see below), whose sum is σ = 1242532915488. Its totient is φ = 156539578368.

The previous prime is 456573772471. The next prime is 456573772483. The reversal of 456573772480 is 84277375654.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (456573772483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101911549 + ... + 101916028.

Almost surely, 2^456573772480 is an apocalyptic number.

456573772480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456573772480 is an abundant number, since it is smaller than the sum of its proper divisors (785959143008).

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

456573772480 is a wasteful number, since it uses less digits than its factorization.

456573772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203827601 (or 203827591 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 58.

The spelling of 456573772480 in words is "four hundred fifty-six billion, five hundred seventy-three million, seven hundred seventy-two thousand, four hundred eighty".