544250400 has 144 divisors (see below), whose sum is σ = 1815071328. Its totient is φ = 141568000.

The previous prime is 544250341. The next prime is 544250401. The reversal of 544250400 is 4052445.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (544250401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95635 + ... + 101165.

It is an arithmetic number, because the mean of its divisors is an integer number (12604662).

Almost surely, 2^544250400 is an apocalyptic number.

544250400 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 544250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907535664).

544250400 is an abundant number, since it is smaller than the sum of its proper divisors (1270820928).

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

544250400 is a wasteful number, since it uses less digits than its factorization.

544250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 544250400 is about 23329.1748675344. The cubic root of 544250400 is about 816.4562519599.

The spelling of 544250400 in words is "five hundred forty-four million, two hundred fifty thousand, four hundred".