4504670400 has 168 divisors, whose sum is σ = 14837891584. Its totient is φ = 1196467200.

The previous prime is 4504670399. The next prime is 4504670431. The reversal of 4504670400 is 40764054.

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 23 ways as a sum of consecutive naturals, for example, 1299069 + ... + 1302531.

Almost surely, 2^4504670400 is an apocalyptic number.

4504670400 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 4504670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418945792).

4504670400 is an abundant number, since it is smaller than the sum of its proper divisors (10333221184).

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

4504670400 is a wasteful number, since it uses less digits than its factorization.

4504670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4504670400 is about 67116.8414036298. The cubic root of 4504670400 is about 1651.5345870031.

The spelling of 4504670400 in words is "four billion, five hundred four million, six hundred seventy thousand, four hundred".