460056960 has 384 divisors, whose sum is σ = 1778643360. Its totient is φ = 108625920.

The previous prime is 460056959. The next prime is 460056967. The reversal of 460056960 is 69650064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460056967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3358012 + ... + 3358148.

Almost surely, 2^460056960 is an apocalyptic number.

460056960 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 460056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889321680).

460056960 is an abundant number, since it is smaller than the sum of its proper divisors (1318586400).

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

460056960 is a wasteful number, since it uses less digits than its factorization.

460056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 460056960 is about 21448.9384352699. The cubic root of 460056960 is about 771.9761239003.

The spelling of 460056960 in words is "four hundred sixty million, fifty-six thousand, nine hundred sixty".