549964800 has 792 divisors, whose sum is σ = 2534218752. Its totient is φ = 110592000.

The previous prime is 549964777. The next prime is 549964819. The reversal of 549964800 is 8469945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×549964800² = 604922562478080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17740785 + ... + 17740815.

Almost surely, 2^549964800 is an apocalyptic number.

549964800 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 549964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267109376).

549964800 is an abundant number, since it is smaller than the sum of its proper divisors (1984253952).

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

549964800 is a wasteful number, since it uses less digits than its factorization.

549964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 549964800 is about 23451.3283205877. The cubic root of 549964800 is about 819.3037913740.

The spelling of 549964800 in words is "five hundred forty-nine million, nine hundred sixty-four thousand, eight hundred".