456000986880 has 288 divisors, whose sum is σ = 1624970188800. Its totient is φ = 121089282048.

The previous prime is 456000986863. The next prime is 456000986891. The reversal of 456000986880 is 88689000654.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8232237 + ... + 8287443.

It is an arithmetic number, because the mean of its divisors is an integer number (5642257600).

Almost surely, 2^456000986880 is an apocalyptic number.

456000986880 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 456000986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812485094400).

456000986880 is an abundant number, since it is smaller than the sum of its proper divisors (1168969201920).

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

456000986880 is a wasteful number, since it uses less digits than its factorization.

456000986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55476 (or 55456 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 456000986880 in words is "four hundred fifty-six billion, nine hundred eighty-six thousand, eight hundred eighty".