486249984 has 240 divisors, whose sum is σ = 1568430864. Its totient is φ = 143769600.

The previous prime is 486249983. The next prime is 486249991. The reversal of 486249984 is 489942684.

486249984 is a `hidden beast` number, since 4 + 8 + 624 + 9 + 9 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 486249984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486249983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686374 + ... + 2686554.

Almost surely, 2^486249984 is an apocalyptic number.

486249984 is a gapful number since it is divisible by the number (44) 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 486249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784215432).

486249984 is an abundant number, since it is smaller than the sum of its proper divisors (1082180880).

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

486249984 is a wasteful number, since it uses less digits than its factorization.

486249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 486249984 is about 22051.0767084059. The cubic root of 486249984 is about 786.3571983285.

The spelling of 486249984 in words is "four hundred eighty-six million, two hundred forty-nine thousand, nine hundred eighty-four".