460728000 has 392 divisors, whose sum is σ = 1732361280. Its totient is φ = 121305600.

The previous prime is 460727989. The next prime is 460728031. The reversal of 460728000 is 827064.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831961 + ... + 5832039.

Almost surely, 2^460728000 is an apocalyptic number.

460728000 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 460728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866180640).

460728000 is an abundant number, since it is smaller than the sum of its proper divisors (1271633280).

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

460728000 is an frugal number, since it uses more digits than its factorization.

460728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 460728000 is about 21464.5754674999. The cubic root of 460728000 is about 772.3512768647.

The spelling of 460728000 in words is "four hundred sixty million, seven hundred twenty-eight thousand".