460646640 has 240 divisors, whose sum is σ = 1646561280. Its totient is φ = 115084800.

The previous prime is 460646609. The next prime is 460646687. The reversal of 460646640 is 46646064.

It is a happy number.

460646640 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 460646595 and 460646604.

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, 2065569 + ... + 2065791.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 2^460646640 is an apocalyptic number.

460646640 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 460646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823280640).

460646640 is an abundant number, since it is smaller than the sum of its proper divisors (1185914640).

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

460646640 is a wasteful number, since it uses less digits than its factorization.

460646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 460646640 is about 21462.6801681430. The cubic root of 460646640 is about 772.3058109939.

The spelling of 460646640 in words is "four hundred sixty million, six hundred forty-six thousand, six hundred forty".