460627200 has 324 divisors, whose sum is σ = 1799030688. Its totient is φ = 111513600.

The previous prime is 460627199. The next prime is 460627201. The reversal of 460627200 is 2726064.

It is an interprime number because it is at equal distance from previous prime (460627199) and next prime (460627201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460627201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 633237 + ... + 633963.

Almost surely, 2^460627200 is an apocalyptic number.

460627200 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 460627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899515344).

460627200 is an abundant number, since it is smaller than the sum of its proper divisors (1338403488).

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

460627200 is a wasteful number, since it uses less digits than its factorization.

460627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 460627200 is about 21462.2272842312. The cubic root of 460627200 is about 772.2949466749.

The spelling of 460627200 in words is "four hundred sixty million, six hundred twenty-seven thousand, two hundred".