460058352 has 160 divisors (see below), whose sum is σ = 1399910400. Its totient is φ = 128839680.

The previous prime is 460058329. The next prime is 460058363. The reversal of 460058352 is 253850064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328149 + ... + 329547.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^460058352 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 460058352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

460058352 is an abundant number, since it is smaller than the sum of its proper divisors (939852048).

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

460058352 is a wasteful number, since it uses less digits than its factorization.

460058352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 460058352 is about 21448.9708844038. The cubic root of 460058352 is about 771.9769024920.

The spelling of 460058352 in words is "four hundred sixty million, fifty-eight thousand, three hundred fifty-two".