551625984 has 288 divisors, whose sum is σ = 2009987840. Its totient is φ = 145317888.

The previous prime is 551625983. The next prime is 551626027. The reversal of 551625984 is 489526155.

551625984 is a `hidden beast` number, since 5 + 51 + 6 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551625983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628554 + ... + 629430.

Almost surely, 2^551625984 is an apocalyptic number.

551625984 is a gapful number since it is divisible by the number (54) 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 551625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004993920).

551625984 is an abundant number, since it is smaller than the sum of its proper divisors (1458361856).

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

551625984 is a wasteful number, since it uses less digits than its factorization.

551625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 902 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 551625984 is about 23486.7193111341. The cubic root of 551625984 is about 820.1278721861.

The spelling of 551625984 in words is "five hundred fifty-one million, six hundred twenty-five thousand, nine hundred eighty-four".