988692480 has 300 divisors, whose sum is σ = 3568326300. Its totient is φ = 261881856.

The previous prime is 988692473. The next prime is 988692521. The reversal of 988692480 is 84296889.

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 764411904 = 14976^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 6635446 + ... + 6635594.

It is an arithmetic number, because the mean of its divisors is an integer number (11894421).

Almost surely, 2^988692480 is an apocalyptic number.

988692480 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 988692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784163150).

988692480 is an abundant number, since it is smaller than the sum of its proper divisors (2579633820).

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

988692480 is an equidigital number, since it uses as much as digits as its factorization.

988692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 988692480 is about 31443.4807233550. The cubic root of 988692480 is about 996.2165300750.

The spelling of 988692480 in words is "nine hundred eighty-eight million, six hundred ninety-two thousand, four hundred eighty".