988712400 has 240 divisors, whose sum is σ = 3470055680. Its totient is φ = 239155200.

The previous prime is 988712363. The next prime is 988712411. The reversal of 988712400 is 4217889.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951081 + ... + 952119.

Almost surely, 2^988712400 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 988712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735027840).

988712400 is an abundant number, since it is smaller than the sum of its proper divisors (2481343280).

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

988712400 is a wasteful number, since it uses less digits than its factorization.

988712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 988712400 is about 31443.7974805843. The cubic root of 988712400 is about 996.2232205611.

The spelling of 988712400 in words is "nine hundred eighty-eight million, seven hundred twelve thousand, four hundred".