553910400 has 240 divisors, whose sum is σ = 2045007690. Its totient is φ = 147640320.

The previous prime is 553910359. The next prime is 553910407. The reversal of 553910400 is 4019355.

553910400 is a `hidden beast` number, since 553 + 9 + 104 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 257795136 + 296115264 = 16056^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (553910407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258132 + ... + 260268.

Almost surely, 2^553910400 is an apocalyptic number.

553910400 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 553910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022503845).

553910400 is an abundant number, since it is smaller than the sum of its proper divisors (1491097290).

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

553910400 is a wasteful number, since it uses less digits than its factorization.

553910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 553910400 is about 23535.3011453009. The cubic root of 553910400 is about 821.2584286368.

Adding to 553910400 its reverse (4019355), we get a palindrome (557929755).

The spelling of 553910400 in words is "five hundred fifty-three million, nine hundred ten thousand, four hundred".