1538977104 has 480 divisors, whose sum is σ = 5597856000. Its totient is φ = 402361344.

The previous prime is 1538977103. The next prime is 1538977109. The reversal of 1538977104 is 4017798351.

1538977104 is a `hidden beast` number, since 1 + 538 + 9 + 7 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1538977104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538977103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14119002 + ... + 14119110.

It is an arithmetic number, because the mean of its divisors is an integer number (11662200).

Almost surely, 2^1538977104 is an apocalyptic number.

1538977104 is a gapful number since it is divisible by the number (14) 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 1538977104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798928000).

1538977104 is an abundant number, since it is smaller than the sum of its proper divisors (4058878896).

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

1538977104 is a wasteful number, since it uses less digits than its factorization.

1538977104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1538977104 is about 39229.7986739672. The cubic root of 1538977104 is about 1154.5446138652.

The spelling of 1538977104 in words is "one billion, five hundred thirty-eight million, nine hundred seventy-seven thousand, one hundred four".