988434720 has 576 divisors, whose sum is σ = 4380929280. Its totient is φ = 197074944.

The previous prime is 988434703. The next prime is 988434763. The reversal of 988434720 is 27434889.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2489562 + ... + 2489958.

It is an arithmetic number, because the mean of its divisors is an integer number (7605780).

Almost surely, 2^988434720 is an apocalyptic number.

988434720 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 988434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190464640).

988434720 is an abundant number, since it is smaller than the sum of its proper divisors (3392494560).

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

988434720 is a wasteful number, since it uses less digits than its factorization.

988434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 988434720 is about 31439.3816733090. The cubic root of 988434720 is about 996.1299486905.

The spelling of 988434720 in words is "nine hundred eighty-eight million, four hundred thirty-four thousand, seven hundred twenty".