549152400 has 120 divisors (see below), whose sum is σ = 1764918784. Its totient is φ = 145958400.

The previous prime is 549152389. The next prime is 549152407. The reversal of 549152400 is 4251945.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (549152407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 504657 + ... + 505743.

Almost surely, 2^549152400 is an apocalyptic number.

549152400 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 549152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882459392).

549152400 is an abundant number, since it is smaller than the sum of its proper divisors (1215766384).

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

549152400 is a wasteful number, since it uses less digits than its factorization.

549152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 549152400 is about 23434.0009388068. Note that the first 3 decimals coincide. The cubic root of 549152400 is about 818.9001713552.

The spelling of 549152400 in words is "five hundred forty-nine million, one hundred fifty-two thousand, four hundred".