544006400 has 108 divisors (see below), whose sum is σ = 1538984832. Its totient is φ = 186501120.

The previous prime is 544006399. The next prime is 544006417. The reversal of 544006400 is 4600445.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38729 + ... + 50871.

Almost surely, 2^544006400 is an apocalyptic number.

544006400 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 544006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769492416).

544006400 is an abundant number, since it is smaller than the sum of its proper divisors (994978432).

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

544006400 is a wasteful number, since it uses less digits than its factorization.

544006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 544006400 is about 23323.9447778458. The cubic root of 544006400 is about 816.3342216690.

Adding to 544006400 its reverse (4600445), we get a palindrome (548606845).

The spelling of 544006400 in words is "five hundred forty-four million, six thousand, four hundred".