4484768400 has 180 divisors, whose sum is σ = 17786833792. Its totient is φ = 1025084160.

The previous prime is 4484768333. The next prime is 4484768411. The reversal of 4484768400 is 48674844.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4484768400² = 40226295203277120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63784 + ... + 114183.

Almost surely, 2^4484768400 is an apocalyptic number.

4484768400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4484768400 is an abundant number, since it is smaller than the sum of its proper divisors (13302065392).

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

4484768400 is a wasteful number, since it uses less digits than its factorization.

4484768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177998 (or 177984 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4484768400 is about 66968.4134499243. The cubic root of 4484768400 is about 1649.0987916080.

The spelling of 4484768400 in words is "four billion, four hundred eighty-four million, seven hundred sixty-eight thousand, four hundred".