551378400 has 144 divisors (see below), whose sum is σ = 1852881408. Its totient is φ = 142272000.

The previous prime is 551378393. The next prime is 551378411. The reversal of 551378400 is 4873155.

551378400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70695 + ... + 78105.

It is an arithmetic number, because the mean of its divisors is an integer number (12867232).

Almost surely, 2^551378400 is an apocalyptic number.

551378400 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 551378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926440704).

551378400 is an abundant number, since it is smaller than the sum of its proper divisors (1301503008).

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

551378400 is a wasteful number, since it uses less digits than its factorization.

551378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 551378400 is about 23481.4479962374. The cubic root of 551378400 is about 820.0051556289.

The spelling of 551378400 in words is "five hundred fifty-one million, three hundred seventy-eight thousand, four hundred".