551286400 has 96 divisors (see below), whose sum is σ = 1556462880. Its totient is φ = 189004800.

The previous prime is 551286397. The next prime is 551286403. The reversal of 551286400 is 4682155.

It is an interprime number because it is at equal distance from previous prime (551286397) and next prime (551286403).

It is not an unprimeable number, because it can be changed into a prime (551286403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10095 + ... + 34705.

It is an arithmetic number, because the mean of its divisors is an integer number (16213155).

Almost surely, 2^551286400 is an apocalyptic number.

551286400 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 551286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778231440).

551286400 is an abundant number, since it is smaller than the sum of its proper divisors (1005176480).

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

551286400 is a wasteful number, since it uses less digits than its factorization.

551286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24642 (or 24625 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 551286400 is about 23479.4889211840. The cubic root of 551286400 is about 819.9595458924.

The spelling of 551286400 in words is "five hundred fifty-one million, two hundred eighty-six thousand, four hundred".