550598400 has 486 divisors, whose sum is σ = 2191127120. Its totient is φ = 131788800.

The previous prime is 550598393. The next prime is 550598407. The reversal of 550598400 is 4895055.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (550598393) and next prime (550598407).

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 (550598407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6969561 + ... + 6969639.

Almost surely, 2^550598400 is an apocalyptic number.

550598400 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 550598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095563560).

550598400 is an abundant number, since it is smaller than the sum of its proper divisors (1640528720).

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

550598400 is a wasteful number, since it uses less digits than its factorization.

550598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 550598400 is about 23464.8332617132. The cubic root of 550598400 is about 819.6183034169.

The spelling of 550598400 in words is "five hundred fifty million, five hundred ninety-eight thousand, four hundred".