4252800 has 96 divisors (see below), whose sum is σ = 14039280. Its totient is φ = 1131520.

The previous prime is 4252799. The next prime is 4252813. The reversal of 4252800 is 82524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 9379 + ... + 9821.

Almost surely, 2^4252800 is an apocalyptic number.

4252800 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 4252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019640).

4252800 is an abundant number, since it is smaller than the sum of its proper divisors (9786480).

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

4252800 is a wasteful number, since it uses less digits than its factorization.

4252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4252800 is about 2062.2318007440. The cubic root of 4252800 is about 162.0161544628.

The spelling of 4252800 in words is "four million, two hundred fifty-two thousand, eight hundred".