984981504 has 112 divisors (see below), whose sum is σ = 2829409632. Its totient is φ = 302972928.

The previous prime is 984981497. The next prime is 984981523. The reversal of 984981504 is 405189489.

It is a super-3 number, since 3×984981504³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 317947 + ... + 321029.

It is an arithmetic number, because the mean of its divisors is an integer number (25262586).

Almost surely, 2^984981504 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 984981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414704816).

984981504 is an abundant number, since it is smaller than the sum of its proper divisors (1844428128).

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

984981504 is a wasteful number, since it uses less digits than its factorization.

984981504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 984981504 is about 31384.4149857855. The cubic root of 984981504 is about 994.9685617534.

The spelling of 984981504 in words is "nine hundred eighty-four million, nine hundred eighty-one thousand, five hundred four".