460220640 has 192 divisors, whose sum is σ = 1598994432. Its totient is φ = 110336000.

The previous prime is 460220627. The next prime is 460220653. The reversal of 460220640 is 46022064.

It is an interprime number because it is at equal distance from previous prime (460220627) and next prime (460220653).

It is a super-3 number, since 3×460220640³ (a number of 27 digits) contains 333 as substring.

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 460220640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532849 + ... + 533711.

It is an arithmetic number, because the mean of its divisors is an integer number (8328096).

Almost surely, 2^460220640 is an apocalyptic number.

460220640 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 460220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799497216).

460220640 is an abundant number, since it is smaller than the sum of its proper divisors (1138773792).

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

460220640 is a wasteful number, since it uses less digits than its factorization.

460220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

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

The square root of 460220640 is about 21452.7536694010. The cubic root of 460220640 is about 772.0676647896.

The spelling of 460220640 in words is "four hundred sixty million, two hundred twenty thousand, six hundred forty".