4252993200 has 360 divisors, whose sum is σ = 15224869296. Its totient is φ = 1099008000.

The previous prime is 4252993189. The next prime is 4252993211. The reversal of 4252993200 is 23992524.

4252993200 is a `hidden beast` number, since 42 + 5 + 299 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4252993189) and next prime (4252993211).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23497110 + ... + 23497290.

Almost surely, 2^4252993200 is an apocalyptic number.

4252993200 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 4252993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612434648).

4252993200 is an abundant number, since it is smaller than the sum of its proper divisors (10971876096).

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

4252993200 is a wasteful number, since it uses less digits than its factorization.

4252993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4252993200 is about 65214.9768074788. The cubic root of 4252993200 is about 1620.1860783056.

The spelling of 4252993200 in words is "four billion, two hundred fifty-two million, nine hundred ninety-three thousand, two hundred".