486769920 has 432 divisors, whose sum is σ = 1957334400. Its totient is φ = 102187008.

The previous prime is 486769919. The next prime is 486769939. The reversal of 486769920 is 29967684.

It is a happy number.

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, 2445981 + ... + 2446179.

Almost surely, 2^486769920 is an apocalyptic number.

486769920 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 486769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978667200).

486769920 is an abundant number, since it is smaller than the sum of its proper divisors (1470564480).

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

486769920 is a wasteful number, since it uses less digits than its factorization.

486769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 486769920 is about 22062.8629148622. The cubic root of 486769920 is about 786.6373764191.

The spelling of 486769920 in words is "four hundred eighty-six million, seven hundred sixty-nine thousand, nine hundred twenty".