460723200 has 264 divisors, whose sum is σ = 1742275392. Its totient is φ = 105185280.

The previous prime is 460723169. The next prime is 460723243. The reversal of 460723200 is 2327064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537172 + ... + 538028.

It is an arithmetic number, because the mean of its divisors is an integer number (6599528).

Almost surely, 2^460723200 is an apocalyptic number.

460723200 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 460723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871137696).

460723200 is an abundant number, since it is smaller than the sum of its proper divisors (1281552192).

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

460723200 is a wasteful number, since it uses less digits than its factorization.

460723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 460723200 is about 21464.4636550742. The cubic root of 460723200 is about 772.3485946610.

The spelling of 460723200 in words is "four hundred sixty million, seven hundred twenty-three thousand, two hundred".