982640400 has 120 divisors (see below), whose sum is σ = 3597430464. Its totient is φ = 224601600.

The previous prime is 982640359. The next prime is 982640411. The reversal of 982640400 is 4046289.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50091 + ... + 66890.

Almost surely, 2^982640400 is an apocalyptic number.

It is an amenable number.

982640400 is an abundant number, since it is smaller than the sum of its proper divisors (2614790064).

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

982640400 is a wasteful number, since it uses less digits than its factorization.

982640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117009 (or 116998 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 982640400 is about 31347.0955592380. The cubic root of 982640400 is about 994.1796559863.

Adding to 982640400 its reverse (4046289), we get a palindrome (986686689).

The spelling of 982640400 in words is "nine hundred eighty-two million, six hundred forty thousand, four hundred".