981834480 has 480 divisors, whose sum is σ = 3900821760. Its totient is φ = 224985600.

The previous prime is 981834431. The next prime is 981834509. The reversal of 981834480 is 84438189.

981834480 is a `hidden beast` number, since 98 + 1 + 83 + 4 + 480 = 666.

981834480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×981834480² = 1927997892233740800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22833339 + ... + 22833381.

It is an arithmetic number, because the mean of its divisors is an integer number (8126712).

Almost surely, 2^981834480 is an apocalyptic number.

981834480 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 981834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950410880).

981834480 is an abundant number, since it is smaller than the sum of its proper divisors (2918987280).

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

981834480 is a wasteful number, since it uses less digits than its factorization.

981834480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 981834480 is about 31334.2381429643. The cubic root of 981834480 is about 993.9077869781.

The spelling of 981834480 in words is "nine hundred eighty-one million, eight hundred thirty-four thousand, four hundred eighty".