460144800 has 288 divisors, whose sum is σ = 1691141760. Its totient is φ = 122238720.

The previous prime is 460144787. The next prime is 460144807. The reversal of 460144800 is 8441064.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (460144807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749469 + ... + 1749731.

It is an arithmetic number, because the mean of its divisors is an integer number (5872020).

Almost surely, 2^460144800 is an apocalyptic number.

460144800 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 460144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845570880).

460144800 is an abundant number, since it is smaller than the sum of its proper divisors (1230996960).

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

460144800 is an equidigital number, since it uses as much as digits as its factorization.

460144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 460144800 is about 21450.9859913245. The cubic root of 460144800 is about 772.0252526483.

Adding to 460144800 its reverse (8441064), we get a palindrome (468585864).

The spelling of 460144800 in words is "four hundred sixty million, one hundred forty-four thousand, eight hundred".