921084480 has 224 divisors, whose sum is σ = 3441070080. Its totient is φ = 231137280.

The previous prime is 921084433. The next prime is 921084481. The reversal of 921084480 is 84480129.

921084480 is a `hidden beast` number, since 92 + 10 + 84 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (921084481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143745 + ... + 150015.

It is an arithmetic number, because the mean of its divisors is an integer number (15361920).

Almost surely, 2^921084480 is an apocalyptic number.

921084480 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 921084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720535040).

921084480 is an abundant number, since it is smaller than the sum of its proper divisors (2519985600).

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

921084480 is a wasteful number, since it uses less digits than its factorization.

921084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 921084480 is about 30349.3736343932. The cubic root of 921084480 is about 972.9708330884.

The spelling of 921084480 in words is "nine hundred twenty-one million, eighty-four thousand, four hundred eighty".