549552900 has 288 divisors, whose sum is σ = 1828632960. Its totient is φ = 126443520.

The previous prime is 549552893. The next prime is 549552907. The reversal of 549552900 is 9255945.

It is an interprime number because it is at equal distance from previous prime (549552893) and next prime (549552907).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549552907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4863244 + ... + 4863356.

It is an arithmetic number, because the mean of its divisors is an integer number (6349420).

It is the magic constant of a 1032 × 1032 magic square.

Almost surely, 2^549552900 is an apocalyptic number.

549552900 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 549552900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914316480).

549552900 is an abundant number, since it is smaller than the sum of its proper divisors (1279080060).

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

549552900 is a wasteful number, since it uses less digits than its factorization.

549552900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 549552900 is about 23442.5446570973. The cubic root of 549552900 is about 819.0991991787.

The spelling of 549552900 in words is "five hundred forty-nine million, five hundred fifty-two thousand, nine hundred".