1538354400 has 144 divisors (see below), whose sum is σ = 5462650368. Its totient is φ = 372928000.

The previous prime is 1538354359. The next prime is 1538354413. The reversal of 1538354400 is 44538351.

1538354400 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2736 + ... + 55535.

It is an arithmetic number, because the mean of its divisors is an integer number (37935072).

Almost surely, 2^1538354400 is an apocalyptic number.

1538354400 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 1538354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731325184).

1538354400 is an abundant number, since it is smaller than the sum of its proper divisors (3924295968).

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

1538354400 is a wasteful number, since it uses less digits than its factorization.

1538354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58305 (or 58292 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1538354400 is about 39221.8612510931. The cubic root of 1538354400 is about 1154.3888748064.

The spelling of 1538354400 in words is "one billion, five hundred thirty-eight million, three hundred fifty-four thousand, four hundred".