484978032 has 240 divisors, whose sum is σ = 1708462080. Its totient is φ = 124761600.

The previous prime is 484978027. The next prime is 484978061. The reversal of 484978032 is 230879484.

484978032 is a `hidden beast` number, since 484 + 97 + 80 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117694 + ... + 2117922.

It is an arithmetic number, because the mean of its divisors is an integer number (7118592).

Almost surely, 2^484978032 is an apocalyptic number.

484978032 is a gapful number since it is divisible by the number (42) 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 484978032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854231040).

484978032 is an abundant number, since it is smaller than the sum of its proper divisors (1223484048).

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

484978032 is a wasteful number, since it uses less digits than its factorization.

484978032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 484978032 is about 22022.2167821498. The cubic root of 484978032 is about 785.6709381454.

The spelling of 484978032 in words is "four hundred eighty-four million, nine hundred seventy-eight thousand, thirty-two".