551504000 has 64 divisors (see below), whose sum is σ = 1371216600. Its totient is φ = 220595200.

The previous prime is 551503961. The next prime is 551504027. The reversal of 551504000 is 405155.

It can be written as a sum of positive squares in 4 ways, for example, as 188677696 + 362826304 = 13736^2 + 19048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 1235 + ... + 33234.

Almost surely, 2^551504000 is an apocalyptic number.

551504000 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 551504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685608300).

551504000 is an abundant number, since it is smaller than the sum of its proper divisors (819712600).

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

551504000 is an equidigital number, since it uses as much as digits as its factorization.

551504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34498 (or 34476 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 551504000 is about 23484.1222957129. The cubic root of 551504000 is about 820.0674146439.

Adding to 551504000 its reverse (405155), we get a palindrome (551909155).

The spelling of 551504000 in words is "five hundred fifty-one million, five hundred four thousand".