460954368 has 216 divisors, whose sum is σ = 1586838960. Its totient is φ = 131604480.

The previous prime is 460954363. The next prime is 460954381. The reversal of 460954368 is 863459064.

460954368 is a `hidden beast` number, since 4 + 609 + 5 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (460954363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338008 + ... + 339368.

Almost surely, 2^460954368 is an apocalyptic number.

460954368 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 460954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793419480).

460954368 is an abundant number, since it is smaller than the sum of its proper divisors (1125884592).

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

460954368 is a wasteful number, since it uses less digits than its factorization.

460954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 460954368 is about 21469.8478802250. The cubic root of 460954368 is about 772.4777484400.

The spelling of 460954368 in words is "four hundred sixty million, nine hundred fifty-four thousand, three hundred sixty-eight".