4525670400 has 360 divisors, whose sum is σ = 15602334720. Its totient is φ = 1156055040.

The previous prime is 4525670399. The next prime is 4525670449. The reversal of 4525670400 is 40765254.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35635137 + ... + 35635263.

Almost surely, 2^4525670400 is an apocalyptic number.

4525670400 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 4525670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801167360).

4525670400 is an abundant number, since it is smaller than the sum of its proper divisors (11076664320).

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

4525670400 is a wasteful number, since it uses less digits than its factorization.

4525670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 4525670400 is about 67273.1030947733. The cubic root of 4525670400 is about 1654.0969995073.

The spelling of 4525670400 in words is "four billion, five hundred twenty-five million, six hundred seventy thousand, four hundred".