553106400 has 576 divisors, whose sum is σ = 2330850816. Its totient is φ = 110592000.

The previous prime is 553106399. The next prime is 553106419. The reversal of 553106400 is 4601355.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7576764 + ... + 7576836.

It is an arithmetic number, because the mean of its divisors is an integer number (4046616).

Almost surely, 2^553106400 is an apocalyptic number.

553106400 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 553106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165425408).

553106400 is an abundant number, since it is smaller than the sum of its proper divisors (1777744416).

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

553106400 is a wasteful number, since it uses less digits than its factorization.

553106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 553106400 is about 23518.2142179205. The cubic root of 553106400 is about 820.8608844941.

Adding to 553106400 its reverse (4601355), we get a palindrome (557707755).

It can be divided in two parts, 553 and 106400, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 553106400 in words is "five hundred fifty-three million, one hundred six thousand, four hundred".