544190400 has 840 divisors, whose sum is σ = 2400940080. Its totient is φ = 119439360.

The previous prime is 544190389. The next prime is 544190401. The reversal of 544190400 is 4091445.

544190400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×544190400² = 592286382904320000, which contains 22 as substring.

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 (544190401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28641591 + ... + 28641609.

It is an arithmetic number, because the mean of its divisors is an integer number (2858262).

Almost surely, 2^544190400 is an apocalyptic number.

544190400 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 544190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200470040).

544190400 is an abundant number, since it is smaller than the sum of its proper divisors (1856749680).

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

544190400 is a wasteful number, since it uses less digits than its factorization.

544190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 544190400 is about 23327.8888886243. Note that the first 6 decimals coincide. The cubic root of 544190400 is about 816.4262478935.

The spelling of 544190400 in words is "five hundred forty-four million, one hundred ninety thousand, four hundred".