4304672400 has 480 divisors, whose sum is σ = 16595255296. Its totient is φ = 933120000.

The previous prime is 4304672399. The next prime is 4304672417. The reversal of 4304672400 is 42764034.

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 95 ways as a sum of consecutive naturals, for example, 15884265 + ... + 15884535.

Almost surely, 2^4304672400 is an apocalyptic number.

4304672400 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 4304672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297627648).

4304672400 is an abundant number, since it is smaller than the sum of its proper divisors (12290582896).

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

4304672400 is a wasteful number, since it uses less digits than its factorization.

4304672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 4304672400 is about 65610.0022862368. The cubic root of 4304672400 is about 1626.7221064894.

The spelling of 4304672400 in words is "four billion, three hundred four million, six hundred seventy-two thousand, four hundred".