551798400 has 192 divisors, whose sum is σ = 1832695200. Its totient is φ = 145920000.

The previous prime is 551798381. The next prime is 551798431. The reversal of 551798400 is 4897155.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2198275 + ... + 2198525.

Almost surely, 2^551798400 is an apocalyptic number.

551798400 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 551798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916347600).

551798400 is an abundant number, since it is smaller than the sum of its proper divisors (1280896800).

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

551798400 is a wasteful number, since it uses less digits than its factorization.

551798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 551798400 is about 23490.3895242288. The cubic root of 551798400 is about 820.2133095667.

The spelling of 551798400 in words is "five hundred fifty-one million, seven hundred ninety-eight thousand, four hundred".