1904031416 has 96 divisors (see below), whose sum is σ = 4424484000. Its totient is φ = 768012672.

The previous prime is 1904031383. The next prime is 1904031419. The reversal of 1904031416 is 6141304091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1904031416² = 7250671266229930112, which contains 22 as substring.

1904031416 is a modest number, since divided by 31416 gives 1904 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904031419) 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, 112001840 + ... + 112001856.

It is an arithmetic number, because the mean of its divisors is an integer number (46088375).

Almost surely, 2^1904031416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904031416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212242000).

1904031416 is an abundant number, since it is smaller than the sum of its proper divisors (2520452584).

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

1904031416 is an frugal number, since it uses more digits than its factorization.

1904031416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1904031416 is about 43635.2084445577. The cubic root of 1904031416 is about 1239.4377037806.

The spelling of 1904031416 in words is "one billion, nine hundred four million, thirty-one thousand, four hundred sixteen".