904949760 has 416 divisors, whose sum is σ = 3434715648. Its totient is φ = 200540160.

The previous prime is 904949753. The next prime is 904949767. The reversal of 904949760 is 67949409.

904949760 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (904949753) and next prime (904949767).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904949767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785869 + ... + 8785971.

It is an arithmetic number, because the mean of its divisors is an integer number (8256528).

Almost surely, 2^904949760 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 904949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717357824).

904949760 is an abundant number, since it is smaller than the sum of its proper divisors (2529765888).

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

904949760 is a wasteful number, since it uses less digits than its factorization.

904949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 904949760 is about 30082.3828843395. The cubic root of 904949760 is about 967.2561277317.

The spelling of 904949760 in words is "nine hundred four million, nine hundred forty-nine thousand, seven hundred sixty".