456787608480 has 288 divisors, whose sum is σ = 1829621049984. Its totient is φ = 101586659328.

The previous prime is 456787608397. The next prime is 456787608481. The reversal of 456787608480 is 84806787654.

456787608480 is a `hidden beast` number, since 4 + 567 + 8 + 7 + 60 + 8 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (456787608481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239422 + ... + 985341.

It is an arithmetic number, because the mean of its divisors is an integer number (6352850868).

Almost surely, 2^456787608480 is an apocalyptic number.

456787608480 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 456787608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914810524992).

456787608480 is an abundant number, since it is smaller than the sum of its proper divisors (1372833441504).

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

456787608480 is a wasteful number, since it uses less digits than its factorization.

456787608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224828 (or 1224817 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 456787608480 in words is "four hundred fifty-six billion, seven hundred eighty-seven million, six hundred eight thousand, four hundred eighty".