1904408064 has 160 divisors (see below), whose sum is σ = 6071382240. Its totient is φ = 585916416.

The previous prime is 1904408063. The next prime is 1904408069. The reversal of 1904408064 is 4608044091.

It is a happy number.

1904408064 is a `hidden beast` number, since 190 + 4 + 408 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904408063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174414 + ... + 185010.

It is an arithmetic number, because the mean of its divisors is an integer number (37946139).

Almost surely, 2^1904408064 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 1904408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035691120).

1904408064 is an abundant number, since it is smaller than the sum of its proper divisors (4166974176).

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

1904408064 is a wasteful number, since it uses less digits than its factorization.

1904408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10615 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1904408064 is about 43639.5241037296. The cubic root of 1904408064 is about 1239.5194252882.

The spelling of 1904408064 in words is "one billion, nine hundred four million, four hundred eight thousand, sixty-four".