549504000 has 440 divisors, whose sum is σ = 2086515288. Its totient is φ = 143769600.

The previous prime is 549503987. The next prime is 549504001. The reversal of 549504000 is 405945.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 544195584 = 2304^2 + 23328^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549504001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367974 + ... + 10368026.

Almost surely, 2^549504000 is an apocalyptic number.

549504000 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 549504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043257644).

549504000 is an abundant number, since it is smaller than the sum of its proper divisors (1537011288).

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

549504000 is an equidigital number, since it uses as much as digits as its factorization.

549504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 549504000 is about 23441.5016583836. The cubic root of 549504000 is about 819.0749035869.

Adding to 549504000 its reverse (405945), we get a palindrome (549909945).

The spelling of 549504000 in words is "five hundred forty-nine million, five hundred four thousand".