988463520 has 576 divisors, whose sum is σ = 3989744640. Its totient is φ = 228096000.

The previous prime is 988463507. The next prime is 988463527. The reversal of 988463520 is 25364889.

988463520 is a `hidden beast` number, since 9 + 8 + 8 + 4 + 635 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988463527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16204290 + ... + 16204350.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^988463520 is an apocalyptic number.

988463520 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 988463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

988463520 is an abundant number, since it is smaller than the sum of its proper divisors (3001281120).

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

988463520 is a wasteful number, since it uses less digits than its factorization.

988463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 988463520 is about 31439.8396942478. The cubic root of 988463520 is about 996.1396233351.

The spelling of 988463520 in words is "nine hundred eighty-eight million, four hundred sixty-three thousand, five hundred twenty".