456401151360 has 768 divisors, whose sum is σ = 2050371947520. Its totient is φ = 90711244800.

The previous prime is 456401151343. The next prime is 456401151403. The reversal of 456401151360 is 63151104654.

456401151360 is a `hidden beast` number, since 4 + 5 + 640 + 1 + 1 + 5 + 1 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10178590 + ... + 10223330.

It is an arithmetic number, because the mean of its divisors is an integer number (2669755140).

Almost surely, 2^456401151360 is an apocalyptic number.

456401151360 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 456401151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025185973760).

456401151360 is an abundant number, since it is smaller than the sum of its proper divisors (1593970796160).

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

456401151360 is a wasteful number, since it uses less digits than its factorization.

456401151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44807 (or 44792 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 456401151360 in words is "four hundred fifty-six billion, four hundred one million, one hundred fifty-one thousand, three hundred sixty".