456233057280 has 2640 divisors, whose sum is σ = 2248514474976. Its totient is φ = 86951854080.

The previous prime is 456233057279. The next prime is 456233057321. The reversal of 456233057280 is 82750332654.

456233057280 is a `hidden beast` number, since 4 + 5 + 62 + 3 + 305 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 2905942962 + ... + 2905943118.

Almost surely, 2^456233057280 is an apocalyptic number.

456233057280 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 456233057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124257237488).

456233057280 is an abundant number, since it is smaller than the sum of its proper divisors (1792281417696).

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

456233057280 is a wasteful number, since it uses less digits than its factorization.

456233057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 456233057280 in words is "four hundred fifty-six billion, two hundred thirty-three million, fifty-seven thousand, two hundred eighty".