460126800 has 540 divisors, whose sum is σ = 1984887840. Its totient is φ = 96422400.

The previous prime is 460126787. The next prime is 460126813. The reversal of 460126800 is 8621064.

460126800 is a `hidden beast` number, since 460 + 126 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (460126787) and next prime (460126813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14842785 + ... + 14842815.

Almost surely, 2^460126800 is an apocalyptic number.

460126800 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 460126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992443920).

460126800 is an abundant number, since it is smaller than the sum of its proper divisors (1524761040).

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

460126800 is a wasteful number, since it uses less digits than its factorization.

460126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 460126800 is about 21450.5664260877. The cubic root of 460126800 is about 772.0151857913.

Adding to 460126800 its reverse (8621064), we get a palindrome (468747864).

It can be divided in two parts, 460 and 126800, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 460126800 in words is "four hundred sixty million, one hundred twenty-six thousand, eight hundred".