486241920 has 256 divisors, whose sum is σ = 1813968000. Its totient is φ = 122757120.

The previous prime is 486241859. The next prime is 486241937. The reversal of 486241920 is 29142684.

486241920 is a `hidden beast` number, since 4 + 8 + 624 + 1 + 9 + 20 = 666.

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

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, 327580 + ... + 329060.

Almost surely, 2^486241920 is an apocalyptic number.

486241920 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 486241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906984000).

486241920 is an abundant number, since it is smaller than the sum of its proper divisors (1327726080).

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

486241920 is a wasteful number, since it uses less digits than its factorization.

486241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 486241920 is about 22050.8938594335. The cubic root of 486241920 is about 786.3528513056.

The spelling of 486241920 in words is "four hundred eighty-six million, two hundred forty-one thousand, nine hundred twenty".