988473600 has 243 divisors, whose sum is σ = 3561199369. Its totient is φ = 261580800.

The previous prime is 988473589. The next prime is 988473601. The reversal of 988473600 is 6374889.

It is a happy number.

The square root of 988473600 is 31440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 355850496 + 632623104 = 18864^2 + 25152^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (988473601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7545535 + ... + 7545665.

Almost surely, 2^988473600 is an apocalyptic number.

988473600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

988473600 is the 31440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988473600

988473600 is an abundant number, since it is smaller than the sum of its proper divisors (2572725769).

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

988473600 is a wasteful number, since it uses less digits than its factorization.

988473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 988473600 is about 996.1430094163.

The spelling of 988473600 in words is "nine hundred eighty-eight million, four hundred seventy-three thousand, six hundred".