456823250480 has 40 divisors (see below), whose sum is σ = 1072630057104. Its totient is φ = 180920096000.

The previous prime is 456823250447. The next prime is 456823250551. The reversal of 456823250480 is 84052328654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×456823250480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 28260686 + ... + 28276845.

Almost surely, 2^456823250480 is an apocalyptic number.

456823250480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456823250480 is an abundant number, since it is smaller than the sum of its proper divisors (615806806624).

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

456823250480 is a wasteful number, since it uses less digits than its factorization.

456823250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56537645 (or 56537639 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The spelling of 456823250480 in words is "four hundred fifty-six billion, eight hundred twenty-three million, two hundred fifty thousand, four hundred eighty".