460328400 has 240 divisors, whose sum is σ = 1872796800. Its totient is φ = 105200640.

The previous prime is 460328399. The next prime is 460328413. The reversal of 460328400 is 4823064.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 72556 + ... + 78644.

It is an arithmetic number, because the mean of its divisors is an integer number (7803320).

Almost surely, 2^460328400 is an apocalyptic number.

460328400 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 460328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936398400).

460328400 is an abundant number, since it is smaller than the sum of its proper divisors (1412468400).

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

460328400 is a wasteful number, since it uses less digits than its factorization.

460328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460328400 is about 21455.2650880850. The cubic root of 460328400 is about 772.1279195975.

The spelling of 460328400 in words is "four hundred sixty million, three hundred twenty-eight thousand, four hundred".