902004480 has 432 divisors, whose sum is σ = 3548956320. Its totient is φ = 209682432.

The previous prime is 902004473. The next prime is 902004497. The reversal of 902004480 is 84400209.

902004480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×902004480² = 1627224163880140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845282 + ... + 2845598.

Almost surely, 2^902004480 is an apocalyptic number.

902004480 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 902004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774478160).

902004480 is an abundant number, since it is smaller than the sum of its proper divisors (2646951840).

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

902004480 is a wasteful number, since it uses less digits than its factorization.

902004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 902004480 is about 30033.3894191115. The cubic root of 902004480 is about 966.2056324452.

Adding to 902004480 its reverse (84400209), we get a palindrome (986404689).

The spelling of 902004480 in words is "nine hundred two million, four thousand, four hundred eighty".