460287360 has 320 divisors, whose sum is σ = 1772804880. Its totient is φ = 113135616.

The previous prime is 460287353. The next prime is 460287371. The reversal of 460287360 is 63782064.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673579 + ... + 674261.

Almost surely, 2^460287360 is an apocalyptic number.

460287360 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 460287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886402440).

460287360 is an abundant number, since it is smaller than the sum of its proper divisors (1312517520).

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

460287360 is a wasteful number, since it uses less digits than its factorization.

460287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 460287360 is about 21454.3086581693. The cubic root of 460287360 is about 772.1049728841.

The spelling of 460287360 in words is "four hundred sixty million, two hundred eighty-seven thousand, three hundred sixty".