1604115414 has 96 divisors (see below), whose sum is σ = 3997244160. Its totient is φ = 478029600.

The previous prime is 1604115391. The next prime is 1604115463. The reversal of 1604115414 is 4145114061.

1604115414 is a `hidden beast` number, since 1 + 604 + 1 + 1 + 54 + 1 + 4 = 666.

It is a super-2 number, since 2×1604115414² = 5146372522864782792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323647 + ... + 328565.

It is an arithmetic number, because the mean of its divisors is an integer number (41637960).

Almost surely, 2^1604115414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1604115414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998622080).

1604115414 is an abundant number, since it is smaller than the sum of its proper divisors (2393128746).

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

1604115414 is a wasteful number, since it uses less digits than its factorization.

1604115414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1604115414 is about 40051.4096381139. The cubic root of 1604115414 is about 1170.6090320318.

Adding to 1604115414 its reverse (4145114061), we get a palindrome (5749229475).

The spelling of 1604115414 in words is "one billion, six hundred four million, one hundred fifteen thousand, four hundred fourteen".