4295893200 has 240 divisors, whose sum is σ = 15042894336. Its totient is φ = 1043251200.

The previous prime is 4295893187. The next prime is 4295893247. The reversal of 4295893200 is 23985924.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629004 + ... + 635796.

Almost surely, 2^4295893200 is an apocalyptic number.

4295893200 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 4295893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521447168).

4295893200 is an abundant number, since it is smaller than the sum of its proper divisors (10747001136).

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

4295893200 is a wasteful number, since it uses less digits than its factorization.

4295893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 4295893200 is about 65543.0637062382. The cubic root of 4295893200 is about 1625.6154765206.

The spelling of 4295893200 in words is "four billion, two hundred ninety-five million, eight hundred ninety-three thousand, two hundred".