460726800 has 120 divisors (see below), whose sum is σ = 1540121664. Its totient is φ = 117511680.

The previous prime is 460726793. The next prime is 460726807. The reversal of 460726800 is 8627064.

It is an interprime number because it is at equal distance from previous prime (460726793) and next prime (460726807).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (460726807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19254 + ... + 35946.

Almost surely, 2^460726800 is an apocalyptic number.

460726800 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 460726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770060832).

460726800 is an abundant number, since it is smaller than the sum of its proper divisors (1079394864).

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

460726800 is a wasteful number, since it uses less digits than its factorization.

460726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16737 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 460726800 is about 21464.5475144481. The cubic root of 460726800 is about 772.3506063155.

The spelling of 460726800 in words is "four hundred sixty million, seven hundred twenty-six thousand, eight hundred".