456468754560 has 512 divisors, whose sum is σ = 1792979435520. Its totient is φ = 96190709760.

The previous prime is 456468754559. The next prime is 456468754561. The reversal of 456468754560 is 65457864654.

It is an interprime number because it is at equal distance from previous prime (456468754559) and next prime (456468754561).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 456468754494 and 456468754503.

It is not an unprimeable number, because it can be changed into a prime (456468754561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274484289 + ... + 274485951.

It is an arithmetic number, because the mean of its divisors is an integer number (3501912960).

Almost surely, 2^456468754560 is an apocalyptic number.

456468754560 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 456468754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896489717760).

456468754560 is an abundant number, since it is smaller than the sum of its proper divisors (1336510680960).

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

456468754560 is a wasteful number, since it uses less digits than its factorization.

456468754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 60.

The spelling of 456468754560 in words is "four hundred fifty-six billion, four hundred sixty-eight million, seven hundred fifty-four thousand, five hundred sixty".