486933120 has 384 divisors, whose sum is σ = 1817786880. Its totient is φ = 124416000.

The previous prime is 486933067. The next prime is 486933127. The reversal of 486933120 is 21339684.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486933127) 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, 4821070 + ... + 4821170.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2^486933120 is an apocalyptic number.

486933120 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 486933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908893440).

486933120 is an abundant number, since it is smaller than the sum of its proper divisors (1330853760).

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

486933120 is a wasteful number, since it uses less digits than its factorization.

486933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 486933120 is about 22066.5611276429. The cubic root of 486933120 is about 786.7252789167.

The spelling of 486933120 in words is "four hundred eighty-six million, nine hundred thirty-three thousand, one hundred twenty".