1534042400 has 144 divisors (see below), whose sum is σ = 4173482880. Its totient is φ = 545817600.

The previous prime is 1534042397. The next prime is 1534042403. The reversal of 1534042400 is 42404351.

It is an interprime number because it is at equal distance from previous prime (1534042397) and next prime (1534042403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1534042403) 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, 411746 + ... + 415454.

It is an arithmetic number, because the mean of its divisors is an integer number (28982520).

Almost surely, 2^1534042400 is an apocalyptic number.

1534042400 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 1534042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086741440).

1534042400 is an abundant number, since it is smaller than the sum of its proper divisors (2639440480).

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

1534042400 is a wasteful number, since it uses less digits than its factorization.

1534042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3774 counting only the distinct ones).

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

The square root of 1534042400 is about 39166.8533328885. The cubic root of 1534042400 is about 1153.3092833221.

Adding to 1534042400 its reverse (42404351), we get a palindrome (1576446751).

The spelling of 1534042400 in words is "one billion, five hundred thirty-four million, forty-two thousand, four hundred".