544350400 has 168 divisors, whose sum is σ = 1477981296. Its totient is φ = 195686400.

The previous prime is 544350379. The next prime is 544350419. The reversal of 544350400 is 4053445.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763102 + ... + 2763298.

Almost surely, 2^544350400 is an apocalyptic number.

544350400 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 544350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738990648).

544350400 is an abundant number, since it is smaller than the sum of its proper divisors (933630896).

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

544350400 is a wasteful number, since it uses less digits than its factorization.

544350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 544350400 is about 23331.3180082052. The cubic root of 544350400 is about 816.5062538372.

The spelling of 544350400 in words is "five hundred forty-four million, three hundred fifty thousand, four hundred".