544790400 has 576 divisors, whose sum is σ = 2287770240. Its totient is φ = 111513600.

The previous prime is 544790383. The next prime is 544790413. The reversal of 544790400 is 4097445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 8131167 + ... + 8131233.

Almost surely, 2^544790400 is an apocalyptic number.

544790400 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 544790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143885120).

544790400 is an abundant number, since it is smaller than the sum of its proper divisors (1742979840).

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

544790400 is a wasteful number, since it uses less digits than its factorization.

544790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 544790400 is about 23340.7454893797. The cubic root of 544790400 is about 816.7261893772.

The spelling of 544790400 in words is "five hundred forty-four million, seven hundred ninety thousand, four hundred".