460909080 has 192 divisors, whose sum is σ = 1543782240. Its totient is φ = 119218176.

The previous prime is 460909073. The next prime is 460909091. The reversal of 460909080 is 80909064.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2339542 + ... + 2339738.

Almost surely, 2^460909080 is an apocalyptic number.

460909080 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 460909080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771891120).

460909080 is an abundant number, since it is smaller than the sum of its proper divisors (1082873160).

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

460909080 is a wasteful number, since it uses less digits than its factorization.

460909080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 460909080 is about 21468.7931658955. The cubic root of 460909080 is about 772.4524493935.

The spelling of 460909080 in words is "four hundred sixty million, nine hundred nine thousand, eighty".