460255824 has 240 divisors, whose sum is σ = 1628467200. Its totient is φ = 123669504.

The previous prime is 460255823. The next prime is 460255837. The reversal of 460255824 is 428552064.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460255823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359217 + ... + 360495.

It is an arithmetic number, because the mean of its divisors is an integer number (6785280).

Almost surely, 2^460255824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460255824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

460255824 is an abundant number, since it is smaller than the sum of its proper divisors (1168211376).

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

460255824 is a wasteful number, since it uses less digits than its factorization.

460255824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 460255824 is about 21453.5736883159. The cubic root of 460255824 is about 772.0873392197.

The spelling of 460255824 in words is "four hundred sixty million, two hundred fifty-five thousand, eight hundred twenty-four".