1543142400 has 264 divisors, whose sum is σ = 5190274944. Its totient is φ = 404275200.

The previous prime is 1543142389. The next prime is 1543142443. The reversal of 1543142400 is 42413451.

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

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, 5452659 + ... + 5452941.

Almost surely, 2^1543142400 is an apocalyptic number.

1543142400 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 1543142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595137472).

1543142400 is an abundant number, since it is smaller than the sum of its proper divisors (3647132544).

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

1543142400 is a wasteful number, since it uses less digits than its factorization.

1543142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1543142400 is about 39282.8512203480. The cubic root of 1543142400 is about 1155.5852808483.

Adding to 1543142400 its reverse (42413451), we get a palindrome (1585555851).

The spelling of 1543142400 in words is "one billion, five hundred forty-three million, one hundred forty-two thousand, four hundred".