4253486400 has 252 divisors, whose sum is σ = 15313355200. Its totient is φ = 1119605760.

The previous prime is 4253486359. The next prime is 4253486407. The reversal of 4253486400 is 46843524.

4253486400 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 4 + 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 not an unprimeable number, because it can be changed into a prime (4253486407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1135731 + ... + 1139469.

Almost surely, 2^4253486400 is an apocalyptic number.

4253486400 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 4253486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656677600).

4253486400 is an abundant number, since it is smaller than the sum of its proper divisors (11059868800).

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

4253486400 is a wasteful number, since it uses less digits than its factorization.

4253486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4253486400 is about 65218.7580378529. The cubic root of 4253486400 is about 1620.2487043864.

The spelling of 4253486400 in words is "four billion, two hundred fifty-three million, four hundred eighty-six thousand, four hundred".