460540080 has 800 divisors, whose sum is σ = 2177860608. Its totient is φ = 87091200.

The previous prime is 460540049. The next prime is 460540117. The reversal of 460540080 is 80045064.

460540080 is a `hidden beast` number, since 46 + 0 + 540 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6486445 + ... + 6486515.

Almost surely, 2^460540080 is an apocalyptic number.

460540080 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 460540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

460540080 is an abundant number, since it is smaller than the sum of its proper divisors (1717320528).

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

460540080 is a wasteful number, since it uses less digits than its factorization.

460540080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 460540080 is about 21460.1975759777. The cubic root of 460540080 is about 772.2462546756.

The spelling of 460540080 in words is "four hundred sixty million, five hundred forty thousand, eighty".