553250400 has 144 divisors (see below), whose sum is σ = 1863162000. Its totient is φ = 142428160.

The previous prime is 553250393. The next prime is 553250407. The reversal of 553250400 is 4052355.

553250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (553250393) and next prime (553250407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553250407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65626 + ... + 73574.

It is an arithmetic number, because the mean of its divisors is an integer number (12938625).

Almost surely, 2^553250400 is an apocalyptic number.

553250400 is a gapful number since it is divisible by the number (50) 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 553250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931581000).

553250400 is an abundant number, since it is smaller than the sum of its proper divisors (1309911600).

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

553250400 is a wasteful number, since it uses less digits than its factorization.

553250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7988 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 553250400 is about 23521.2754756199. The cubic root of 553250400 is about 820.9321147377.

The spelling of 553250400 in words is "five hundred fifty-three million, two hundred fifty thousand, four hundred".