904090005 has 288 divisors, whose sum is σ = 2187005184. Its totient is φ = 349360128.

The previous prime is 904089961. The next prime is 904090009. The reversal of 904090005 is 500090409.

It is a happy number.

It is not a de Polignac number, because 904090005 - 2⁹ = 904089493 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904090009) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24434847 + ... + 24434883.

It is an arithmetic number, because the mean of its divisors is an integer number (7593768).

Almost surely, 2^904090005 is an apocalyptic number.

It is an amenable number.

904090005 is an abundant number, since it is smaller than the sum of its proper divisors (1282915179).

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

904090005 is a wasteful number, since it uses less digits than its factorization.

904090005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 904090005 is about 30068.0894803777. The cubic root of 904090005 is about 966.9497141144.

The spelling of 904090005 in words is "nine hundred four million, ninety thousand, five".