456260904960 has 1536 divisors, whose sum is σ = 1868106240000. Its totient is φ = 94680907776.

The previous prime is 456260904929. The next prime is 456260905031. The reversal of 456260904960 is 69409062654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8608696294 + ... + 8608696346.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215000).

Almost surely, 2^456260904960 is an apocalyptic number.

456260904960 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 456260904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934053120000).

456260904960 is an abundant number, since it is smaller than the sum of its proper divisors (1411845335040).

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

456260904960 is a wasteful number, since it uses less digits than its factorization.

456260904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 456260904960 in words is "four hundred fifty-six billion, two hundred sixty million, nine hundred four thousand, nine hundred sixty".