460978560 has 512 divisors, whose sum is σ = 1934899200. Its totient is φ = 101523456.

The previous prime is 460978541. The next prime is 460978561. The reversal of 460978560 is 65879064.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460978561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475469 + ... + 4475571.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^460978560 is an apocalyptic number.

460978560 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 460978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967449600).

460978560 is an abundant number, since it is smaller than the sum of its proper divisors (1473920640).

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

460978560 is a wasteful number, since it uses less digits than its factorization.

460978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 460978560 is about 21470.4112676027. The cubic root of 460978560 is about 772.4912620371.

The spelling of 460978560 in words is "four hundred sixty million, nine hundred seventy-eight thousand, five hundred sixty".