904140000 has 180 divisors, whose sum is σ = 3213546336. Its totient is φ = 241056000.

The previous prime is 904139993. The next prime is 904140031. The reversal of 904140000 is 41409.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 177489 + ... + 182511.

Almost surely, 2^904140000 is an apocalyptic number.

904140000 is a gapful number since it is divisible by the number (90) 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 904140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606773168).

904140000 is an abundant number, since it is smaller than the sum of its proper divisors (2309406336).

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

904140000 is a wasteful number, since it uses less digits than its factorization.

904140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 904140000 is about 30068.9208319820. The cubic root of 904140000 is about 966.9675374725.

Adding to 904140000 its reverse (41409), we get a palindrome (904181409).

The spelling of 904140000 in words is "nine hundred four million, one hundred forty thousand".