460087320 has 512 divisors, whose sum is σ = 1903564800. Its totient is φ = 86016000.

The previous prime is 460087289. The next prime is 460087321. The reversal of 460087320 is 23780064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460087321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4555270 + ... + 4555370.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^460087320 is an apocalyptic number.

460087320 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 460087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782400).

460087320 is an abundant number, since it is smaller than the sum of its proper divisors (1443477480).

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

460087320 is a wasteful number, since it uses less digits than its factorization.

460087320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 460087320 is about 21449.6461509275. The cubic root of 460087320 is about 771.9931048987.

The spelling of 460087320 in words is "four hundred sixty million, eighty-seven thousand, three hundred twenty".