456546404160 has 2240 divisors, whose sum is σ = 2148126621696. Its totient is φ = 89280921600.

The previous prime is 456546404117. The next prime is 456546404177. The reversal of 456546404160 is 61404645654.

456546404160 is a `hidden beast` number, since 4 + 5 + 6 + 546 + 4 + 0 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2907938802 + ... + 2907938958.

Almost surely, 2^456546404160 is an apocalyptic number.

456546404160 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 456546404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074063310848).

456546404160 is an abundant number, since it is smaller than the sum of its proper divisors (1691580217536).

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

456546404160 is a wasteful number, since it uses less digits than its factorization.

456546404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 456546404160 in words is "four hundred fifty-six billion, five hundred forty-six million, four hundred four thousand, one hundred sixty".