460414080 has 384 divisors, whose sum is σ = 1915804800. Its totient is φ = 99532800.

The previous prime is 460414033. The next prime is 460414091. The reversal of 460414080 is 80414064.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×460414080² = 423962250124492800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765780 + ... + 766380.

It is an arithmetic number, because the mean of its divisors is an integer number (4989075).

Almost surely, 2^460414080 is an apocalyptic number.

460414080 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 460414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957902400).

460414080 is an abundant number, since it is smaller than the sum of its proper divisors (1455390720).

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

460414080 is a wasteful number, since it uses less digits than its factorization.

460414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 460414080 is about 21457.2617078694. The cubic root of 460414080 is about 772.1758214983.

The spelling of 460414080 in words is "four hundred sixty million, four hundred fourteen thousand, eighty".