460951400 has 384 divisors, whose sum is σ = 1466572800. Its totient is φ = 130636800.

The previous prime is 460951367. The next prime is 460951423. The reversal of 460951400 is 4159064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10719779 + ... + 10719821.

It is an arithmetic number, because the mean of its divisors is an integer number (3819200).

Almost surely, 2^460951400 is an apocalyptic number.

460951400 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 460951400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733286400).

460951400 is an abundant number, since it is smaller than the sum of its proper divisors (1005621400).

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

460951400 is a wasteful number, since it uses less digits than its factorization.

460951400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 460951400 is about 21469.7787599221. The cubic root of 460951400 is about 772.4760904893.

The spelling of 460951400 in words is "four hundred sixty million, nine hundred fifty-one thousand, four hundred".