927120480 has 288 divisors, whose sum is σ = 3453166080. Its totient is φ = 207267840.

The previous prime is 927120431. The next prime is 927120487. The reversal of 927120480 is 84021729.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (927120487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891801 + ... + 892839.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2^927120480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 927120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

927120480 is an abundant number, since it is smaller than the sum of its proper divisors (2526045600).

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

927120480 is a wasteful number, since it uses less digits than its factorization.

927120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 927120480 is about 30448.6531721848. The cubic root of 927120480 is about 975.0915469595.

The spelling of 927120480 in words is "nine hundred twenty-seven million, one hundred twenty thousand, four hundred eighty".