1538420400 has 360 divisors, whose sum is σ = 5942070576. Its totient is φ = 365414400.

The previous prime is 1538420399. The next prime is 1538420407. The reversal of 1538420400 is 40248351.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1538420407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2098434 + ... + 2099166.

Almost surely, 2^1538420400 is an apocalyptic number.

1538420400 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 1538420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971035288).

1538420400 is an abundant number, since it is smaller than the sum of its proper divisors (4403650176).

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

1538420400 is a wasteful number, since it uses less digits than its factorization.

1538420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1538420400 is about 39222.7026095857. The cubic root of 1538420400 is about 1154.4053834809.

Adding to 1538420400 its reverse (40248351), we get a palindrome (1578668751).

The spelling of 1538420400 in words is "one billion, five hundred thirty-eight million, four hundred twenty thousand, four hundred".