987414480 has 480 divisors, whose sum is σ = 3821755392. Its totient is φ = 226713600.

The previous prime is 987414473. The next prime is 987414497. The reversal of 987414480 is 84414789.

987414480 is a `hidden beast` number, since 98 + 74 + 14 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11896519 + ... + 11896601.

Almost surely, 2^987414480 is an apocalyptic number.

987414480 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 987414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910877696).

987414480 is an abundant number, since it is smaller than the sum of its proper divisors (2834340912).

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

987414480 is a wasteful number, since it uses less digits than its factorization.

987414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 987414480 is about 31423.1519743007. The cubic root of 987414480 is about 995.7871030905.

The spelling of 987414480 in words is "nine hundred eighty-seven million, four hundred fourteen thousand, four hundred eighty".