1544420400 has 120 divisors (see below), whose sum is σ = 5017250304. Its totient is φ = 406022400.

The previous prime is 1544420363. The next prime is 1544420407. The reversal of 1544420400 is 40244451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1544420407) 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, 76137 + ... + 94263.

Almost surely, 2^1544420400 is an apocalyptic number.

1544420400 is a gapful number since it is divisible by the number (10) 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 1544420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508625152).

1544420400 is an abundant number, since it is smaller than the sum of its proper divisors (3472829904).

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

1544420400 is a wasteful number, since it uses less digits than its factorization.

1544420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18219 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1544420400 is about 39299.1144938407. The cubic root of 1544420400 is about 1155.9042037769.

Adding to 1544420400 its reverse (40244451), we get a palindrome (1584664851).

The spelling of 1544420400 in words is "one billion, five hundred forty-four million, four hundred twenty thousand, four hundred".