460088640 has 448 divisors, whose sum is σ = 1825873920. Its totient is φ = 108103680.

The previous prime is 460088617. The next prime is 460088641. The reversal of 460088640 is 46880064.

460088640 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 460088595 and 460088604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460088641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4466829 + ... + 4466931.

Almost surely, 2^460088640 is an apocalyptic number.

460088640 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 460088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

460088640 is an abundant number, since it is smaller than the sum of its proper divisors (1365785280).

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

460088640 is a wasteful number, since it uses less digits than its factorization.

460088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 460088640 is about 21449.6769206438. The cubic root of 460088640 is about 771.9938431861.

The spelling of 460088640 in words is "four hundred sixty million, eighty-eight thousand, six hundred forty".