486323040 has 576 divisors, whose sum is σ = 1985679360. Its totient is φ = 99348480.

The previous prime is 486323039. The next prime is 486323041. The reversal of 486323040 is 40323684.

It is an interprime number because it is at equal distance from previous prime (486323039) and next prime (486323041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 486322989 and 486323007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486323041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15687825 + ... + 15687855.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2^486323040 is an apocalyptic number.

486323040 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 486323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992839680).

486323040 is an abundant number, since it is smaller than the sum of its proper divisors (1499356320).

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

486323040 is a wasteful number, since it uses less digits than its factorization.

486323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 486323040 is about 22052.7331639414. The cubic root of 486323040 is about 786.3965780965.

The spelling of 486323040 in words is "four hundred eighty-six million, three hundred twenty-three thousand, forty".