551972400 has 240 divisors, whose sum is σ = 2109341184. Its totient is φ = 120637440.

The previous prime is 551972387. The next prime is 551972417. The reversal of 551972400 is 4279155.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191772 + ... + 194628.

Almost surely, 2^551972400 is an apocalyptic number.

551972400 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 551972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054670592).

551972400 is an abundant number, since it is smaller than the sum of its proper divisors (1557368784).

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

551972400 is a wasteful number, since it uses less digits than its factorization.

551972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 551972400 is about 23494.0928745930. The cubic root of 551972400 is about 820.2995138262.

The spelling of 551972400 in words is "five hundred fifty-one million, nine hundred seventy-two thousand, four hundred".