4250076800 has 96 divisors (see below), whose sum is σ = 10677441600. Its totient is φ = 1671142400.

The previous prime is 4250076799. The next prime is 4250076811. The reversal of 4250076800 is 86700524.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177545 + ... + 200055.

It is an arithmetic number, because the mean of its divisors is an integer number (111223350).

Almost surely, 2^4250076800 is an apocalyptic number.

4250076800 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 4250076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338720800).

4250076800 is an abundant number, since it is smaller than the sum of its proper divisors (6427364800).

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

4250076800 is a wasteful number, since it uses less digits than its factorization.

4250076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22594 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 4250076800 is about 65192.6130784769. The cubic root of 4250076800 is about 1619.8156575285.

The spelling of 4250076800 in words is "four billion, two hundred fifty million, seventy-six thousand, eight hundred".