460362400 has 144 divisors (see below), whose sum is σ = 1222421760. Its totient is φ = 168652800.

The previous prime is 460362389. The next prime is 460362407. The reversal of 460362400 is 4263064.

460362400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (460362407) 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, 470712 + ... + 471688.

It is an arithmetic number, because the mean of its divisors is an integer number (8489040).

Almost surely, 2^460362400 is an apocalyptic number.

460362400 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 460362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611210880).

460362400 is an abundant number, since it is smaller than the sum of its proper divisors (762059360).

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

460362400 is a wasteful number, since it uses less digits than its factorization.

460362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 460362400 is about 21456.0574197591. The cubic root of 460362400 is about 772.1469289996.

The spelling of 460362400 in words is "four hundred sixty million, three hundred sixty-two thousand, four hundred".