460802400 has 144 divisors (see below), whose sum is σ = 1515559248. Its totient is φ = 121600000.

The previous prime is 460802371. The next prime is 460802411. The reversal of 460802400 is 4208064.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241450 + ... + 243350.

It is an arithmetic number, because the mean of its divisors is an integer number (10524717).

Almost surely, 2^460802400 is an apocalyptic number.

460802400 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 460802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757779624).

460802400 is an abundant number, since it is smaller than the sum of its proper divisors (1054756848).

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

460802400 is a wasteful number, since it uses less digits than its factorization.

460802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 460802400 is about 21466.3084856246. The cubic root of 460802400 is about 772.3928486397.

It can be divided in two parts, 46080 and 2400, that multiplied together give a cube (110592000 = 480³).

The spelling of 460802400 in words is "four hundred sixty million, eight hundred two thousand, four hundred".