892488480 has 192 divisors, whose sum is σ = 3050224128. Its totient is φ = 218050560.

The previous prime is 892488479. The next prime is 892488497. The reversal of 892488480 is 84884298.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979225 + ... + 980135.

It is an arithmetic number, because the mean of its divisors is an integer number (15886584).

Almost surely, 2^892488480 is an apocalyptic number.

892488480 is a gapful number since it is divisible by the number (80) 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 892488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525112064).

892488480 is an abundant number, since it is smaller than the sum of its proper divisors (2157735648).

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

892488480 is a wasteful number, since it uses less digits than its factorization.

892488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 892488480 is about 29874.5456869222. The cubic root of 892488480 is about 962.7958427172.

The spelling of 892488480 in words is "eight hundred ninety-two million, four hundred eighty-eight thousand, four hundred eighty".