982153440 has 216 divisors, whose sum is σ = 3475436328. Its totient is φ = 252564480.

The previous prime is 982153433. The next prime is 982153451. The reversal of 982153440 is 44351289.

982153440 is a `hidden beast` number, since 9 + 82 + 1 + 534 + 40 = 666.

982153440 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 982153395 and 982153404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1210635 + ... + 1211445.

It is an arithmetic number, because the mean of its divisors is an integer number (16089983).

Almost surely, 2^982153440 is an apocalyptic number.

982153440 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 982153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737718164).

982153440 is an abundant number, since it is smaller than the sum of its proper divisors (2493282888).

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

982153440 is a wasteful number, since it uses less digits than its factorization.

982153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 982153440 is about 31339.3273699357. The cubic root of 982153440 is about 994.0154027089.

The spelling of 982153440 in words is "nine hundred eighty-two million, one hundred fifty-three thousand, four hundred forty".