984156480 has 280 divisors, whose sum is σ = 3586288992. Its totient is φ = 256048128.

The previous prime is 984156463. The next prime is 984156487. The reversal of 984156480 is 84651489.

984156480 is a `hidden beast` number, since 9 + 8 + 4 + 1 + 564 + 80 = 666.

It is a super-3 number, since 3×984156480³ (a number of 28 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (984156487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1114119 + ... + 1115001.

Almost surely, 2^984156480 is an apocalyptic number.

984156480 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 984156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793144496).

984156480 is an abundant number, since it is smaller than the sum of its proper divisors (2602132512).

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

984156480 is a wasteful number, since it uses less digits than its factorization.

984156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 984156480 is about 31371.2683836660. The cubic root of 984156480 is about 994.6906877579.

It can be divided in two parts, 984 and 156480, that added together give a cube (157464 = 54³).

The spelling of 984156480 in words is "nine hundred eighty-four million, one hundred fifty-six thousand, four hundred eighty".