460288290 has 128 divisors (see below), whose sum is σ = 1424977920. Its totient is φ = 92332800.

The previous prime is 460288289. The next prime is 460288291. The reversal of 460288290 is 92882064.

It is an interprime number because it is at equal distance from previous prime (460288289) and next prime (460288291).

It is a super-2 number, since 2×460288290² = 423730619822248200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460288291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63555 + ... + 70425.

It is an arithmetic number, because the mean of its divisors is an integer number (11132640).

Almost surely, 2^460288290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460288290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712488960).

460288290 is an abundant number, since it is smaller than the sum of its proper divisors (964689630).

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

460288290 is a wasteful number, since it uses less digits than its factorization.

460288290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 460288290 is about 21454.3303321264. The cubic root of 460288290 is about 772.1054928905.

The spelling of 460288290 in words is "four hundred sixty million, two hundred eighty-eight thousand, two hundred ninety".