460254080 has 256 divisors, whose sum is σ = 1332495360. Its totient is φ = 149790720.

The previous prime is 460254061. The next prime is 460254097. The reversal of 460254080 is 80452064.

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, 4301387 + ... + 4301493.

It is an arithmetic number, because the mean of its divisors is an integer number (5205060).

Almost surely, 2^460254080 is an apocalyptic number.

460254080 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 460254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

460254080 is an abundant number, since it is smaller than the sum of its proper divisors (872241280).

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

460254080 is a wasteful number, since it uses less digits than its factorization.

460254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 460254080 is about 21453.5330423686. The cubic root of 460254080 is about 772.0863640215.

It can be divided in two parts, 46025 and 4080, that added together give a palindrome (50105).

The spelling of 460254080 in words is "four hundred sixty million, two hundred fifty-four thousand, eighty".