460387200 has 768 divisors, whose sum is σ = 2039869440. Its totient is φ = 88473600.

The previous prime is 460387177. The next prime is 460387211. The reversal of 460387200 is 2783064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14851185 + ... + 14851215.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^460387200 is an apocalyptic number.

460387200 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 460387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019934720).

460387200 is an abundant number, since it is smaller than the sum of its proper divisors (1579482240).

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

460387200 is a wasteful number, since it uses less digits than its factorization.

460387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 460387200 is about 21456.6353373496. The cubic root of 460387200 is about 772.1607940908.

The spelling of 460387200 in words is "four hundred sixty million, three hundred eighty-seven thousand, two hundred".