6252386400 has 432 divisors, whose sum is σ = 24121987344. Its totient is φ = 1514557440.

The previous prime is 6252386381. The next prime is 6252386461. The reversal of 6252386400 is 46832526.

6252386400 is a `hidden beast` number, since 6 + 2 + 5 + 2 + 3 + 8 + 640 + 0 = 666.

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

It is a congruent number.

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, 6270702 + ... + 6271698.

Almost surely, 2^6252386400 is an apocalyptic number.

6252386400 is a gapful number since it is divisible by the number (60) 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 6252386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060993672).

6252386400 is an abundant number, since it is smaller than the sum of its proper divisors (17869600944).

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

6252386400 is a wasteful number, since it uses less digits than its factorization.

6252386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6252386400 is about 79072.0329825913. The cubic root of 6252386400 is about 1842.2501614285.

It can be divided in two parts, 625 and 2386400, that added together give a square (2387025 = 1545²).

The spelling of 6252386400 in words is "six billion, two hundred fifty-two million, three hundred eighty-six thousand, four hundred".