460107648 has 768 divisors, whose sum is σ = 1953504000. Its totient is φ = 104509440.

The previous prime is 460107631. The next prime is 460107727. The reversal of 460107648 is 846701064.

460107648 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 0 + 7 + 648 = 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, 24216183 + ... + 24216201.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 2^460107648 is an apocalyptic number.

460107648 is a gapful number since it is divisible by the number (48) 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 460107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

460107648 is an abundant number, since it is smaller than the sum of its proper divisors (1493396352).

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

460107648 is a wasteful number, since it uses less digits than its factorization.

460107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 460107648 is about 21450.1199996643. The cubic root of 460107648 is about 772.0044743671.

The spelling of 460107648 in words is "four hundred sixty million, one hundred seven thousand, six hundred forty-eight".