988262400 has 156 divisors (see below), whose sum is σ = 3268471112. Its totient is φ = 263454720.

The previous prime is 988262389. The next prime is 988262417. The reversal of 988262400 is 4262889.

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 11 ways as a sum of consecutive naturals, for example, 305592 + ... + 308808.

Almost surely, 2^988262400 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 988262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634235556).

988262400 is an abundant number, since it is smaller than the sum of its proper divisors (2280208712).

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

988262400 is a wasteful number, since it uses less digits than its factorization.

988262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 988262400 is about 31436.6410419434. The cubic root of 988262400 is about 996.0720581405.

The spelling of 988262400 in words is "nine hundred eighty-eight million, two hundred sixty-two thousand, four hundred".