903982464 has 512 divisors, whose sum is σ = 3446784000. Its totient is φ = 226437120.

The previous prime is 903982439. The next prime is 903982477. The reversal of 903982464 is 464289309.

It is a super-2 number, since 2×903982464² = 1634368590439022592, 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 63 ways as a sum of consecutive naturals, for example, 11442777 + ... + 11442855.

It is an arithmetic number, because the mean of its divisors is an integer number (6732000).

Almost surely, 2^903982464 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 903982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723392000).

903982464 is an abundant number, since it is smaller than the sum of its proper divisors (2542801536).

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

903982464 is a wasteful number, since it uses less digits than its factorization.

903982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 903982464 is about 30066.3011359894. The cubic root of 903982464 is about 966.9113732184.

The spelling of 903982464 in words is "nine hundred three million, nine hundred eighty-two thousand, four hundred sixty-four".