457647996960 has 1152 divisors, whose sum is σ = 2005100697600. Its totient is φ = 94223001600.

The previous prime is 457647996959. The next prime is 457647996991. The reversal of 457647996960 is 69699746754.

457647996960 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 479 + 96 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 711738399 + ... + 711739041.

It is an arithmetic number, because the mean of its divisors is an integer number (1740538800).

Almost surely, 2^457647996960 is an apocalyptic number.

457647996960 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 457647996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002550348800).

457647996960 is an abundant number, since it is smaller than the sum of its proper divisors (1547452700640).

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

457647996960 is a wasteful number, since it uses less digits than its factorization.

457647996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 457647996960 in words is "four hundred fifty-seven billion, six hundred forty-seven million, nine hundred ninety-six thousand, nine hundred sixty".