484762320 has 200 divisors, whose sum is σ = 1924353024. Its totient is φ = 110792448.

The previous prime is 484762319. The next prime is 484762331. The reversal of 484762320 is 23267484.

484762320 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 623 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40017 + ... + 50703.

Almost surely, 2^484762320 is an apocalyptic number.

484762320 is a gapful number since it is divisible by the number (40) 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 484762320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962176512).

484762320 is an abundant number, since it is smaller than the sum of its proper divisors (1439590704).

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

484762320 is a wasteful number, since it uses less digits than its factorization.

484762320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10719 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 484762320 is about 22017.3186378360. The cubic root of 484762320 is about 785.5544354231.

The spelling of 484762320 in words is "four hundred eighty-four million, seven hundred sixty-two thousand, three hundred twenty".