460080000 has 400 divisors, whose sum is σ = 1735038360. Its totient is φ = 120960000.

The previous prime is 460079999. The next prime is 460080029. The reversal of 460080000 is 80064.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479965 + ... + 6480035.

Almost surely, 2^460080000 is an apocalyptic number.

460080000 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 460080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867519180).

460080000 is an abundant number, since it is smaller than the sum of its proper divisors (1274958360).

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

460080000 is an frugal number, since it uses more digits than its factorization.

460080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 460080000 is about 21449.4755180634. The cubic root of 460080000 is about 771.9890107342.

The spelling of 460080000 in words is "four hundred sixty million, eighty thousand".