460022640 has 480 divisors, whose sum is σ = 1874546688. Its totient is φ = 91238400.

The previous prime is 460022627. The next prime is 460022653. The reversal of 460022640 is 46220064.

It is an interprime number because it is at equal distance from previous prime (460022627) and next prime (460022653).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 460022640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301644 + ... + 6301716.

Almost surely, 2^460022640 is an apocalyptic number.

460022640 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 460022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937273344).

460022640 is an abundant number, since it is smaller than the sum of its proper divisors (1414524048).

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

460022640 is a wasteful number, since it uses less digits than its factorization.

460022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 460022640 is about 21448.1383807546. The cubic root of 460022640 is about 771.9569270894.

The spelling of 460022640 in words is "four hundred sixty million, twenty-two thousand, six hundred forty".