550938400 has 72 divisors (see below), whose sum is σ = 1348507440. Its totient is φ = 219797760.

The previous prime is 550938347. The next prime is 550938413. The reversal of 550938400 is 4839055.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436971 + ... + 438229.

It is an arithmetic number, because the mean of its divisors is an integer number (18729270).

Almost surely, 2^550938400 is an apocalyptic number.

550938400 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 550938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674253720).

550938400 is an abundant number, since it is smaller than the sum of its proper divisors (797569040).

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

550938400 is a wasteful number, since it uses less digits than its factorization.

550938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 550938400 is about 23472.0770278218. The cubic root of 550938400 is about 819.7869761932.

The spelling of 550938400 in words is "five hundred fifty million, nine hundred thirty-eight thousand, four hundred".