460225560 has 128 divisors (see below), whose sum is σ = 1431936000. Its totient is φ = 118250496.

The previous prime is 460225537. The next prime is 460225583. The reversal of 460225560 is 65522064.

It is an interprime number because it is at equal distance from previous prime (460225537) and next prime (460225583).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407076 + ... + 408204.

It is an arithmetic number, because the mean of its divisors is an integer number (11187000).

Almost surely, 2^460225560 is an apocalyptic number.

460225560 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 460225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715968000).

460225560 is an abundant number, since it is smaller than the sum of its proper divisors (971710440).

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

460225560 is a wasteful number, since it uses less digits than its factorization.

460225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 460225560 is about 21452.8683396883. The cubic root of 460225560 is about 772.0704160492.

The spelling of 460225560 in words is "four hundred sixty million, two hundred twenty-five thousand, five hundred sixty".