4684004400 has 60 divisors (see below), whose sum is σ = 15004431272. Its totient is φ = 1249067520.

The previous prime is 4684004399. The next prime is 4684004419. The reversal of 4684004400 is 44004864.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1950469 + ... + 1952868.

Almost surely, 2^4684004400 is an apocalyptic number.

4684004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4684004400 is an abundant number, since it is smaller than the sum of its proper divisors (10320426872).

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

4684004400 is a wasteful number, since it uses less digits than its factorization.

4684004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903358 (or 3903347 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4684004400 is about 68439.7866741269. The cubic root of 4684004400 is about 1673.1662593394.

The spelling of 4684004400 in words is "four billion, six hundred eighty-four million, four thousand, four hundred".