4314460800 has 384 divisors, whose sum is σ = 15469009920. Its totient is φ = 1050624000.

The previous prime is 4314460783. The next prime is 4314460841. The reversal of 4314460800 is 80644134.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4314460800² = 37229143989473280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22588705 + ... + 22588895.

It is an arithmetic number, because the mean of its divisors is an integer number (40283880).

Almost surely, 2^4314460800 is an apocalyptic number.

4314460800 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 4314460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

4314460800 is an abundant number, since it is smaller than the sum of its proper divisors (11154549120).

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

4314460800 is a wasteful number, since it uses less digits than its factorization.

4314460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4314460800 is about 65684.5552622532. Note that the first 3 decimals coincide. The cubic root of 4314460800 is about 1627.9541749100.

The spelling of 4314460800 in words is "four billion, three hundred fourteen million, four hundred sixty thousand, eight hundred".