4253554400 has 144 divisors (see below), whose sum is σ = 10671067008. Its totient is φ = 1655040000.

The previous prime is 4253554397. The next prime is 4253554441. The reversal of 4253554400 is 44553524.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4928369 + ... + 4929231.

It is an arithmetic number, because the mean of its divisors is an integer number (74104632).

Almost surely, 2^4253554400 is an apocalyptic number.

4253554400 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 4253554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335533504).

4253554400 is an abundant number, since it is smaller than the sum of its proper divisors (6417512608).

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

4253554400 is a wasteful number, since it uses less digits than its factorization.

4253554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 4253554400 is about 65219.2793581775. The cubic root of 4253554400 is about 1620.2573385839.

The spelling of 4253554400 in words is "four billion, two hundred fifty-three million, five hundred fifty-four thousand, four hundred".