4253331600 has 480 divisors, whose sum is σ = 17476976640. Its totient is φ = 962357760.

The previous prime is 4253331553. The next prime is 4253331611. The reversal of 4253331600 is 61333524.

It is a happy number.

4253331600 is a `hidden beast` number, since 4 + 2 + 53 + 3 + 3 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 9600979 + ... + 9601421.

It is an arithmetic number, because the mean of its divisors is an integer number (36410368).

Almost surely, 2^4253331600 is an apocalyptic number.

4253331600 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 4253331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8738488320).

4253331600 is an abundant number, since it is smaller than the sum of its proper divisors (13223645040).

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

4253331600 is a wasteful number, since it uses less digits than its factorization.

4253331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4253331600 is about 65217.5712519257. The cubic root of 4253331600 is about 1620.2290485465.

The spelling of 4253331600 in words is "four billion, two hundred fifty-three million, three hundred thirty-one thousand, six hundred".