486948000 has 768 divisors, whose sum is σ = 2173796352. Its totient is φ = 92160000.

The previous prime is 486947999. The next prime is 486948013. The reversal of 486948000 is 849684.

It is a self number, because there is not a number n which added to its sum of digits gives 486948000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15707985 + ... + 15708015.

It is an arithmetic number, because the mean of its divisors is an integer number (2830464).

Almost surely, 2^486948000 is an apocalyptic number.

486948000 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 486948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086898176).

486948000 is an abundant number, since it is smaller than the sum of its proper divisors (1686848352).

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

486948000 is a wasteful number, since it uses less digits than its factorization.

486948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 486948000 is about 22066.8982868005. The cubic root of 486948000 is about 786.7332925791.

The spelling of 486948000 in words is "four hundred eighty-six million, nine hundred forty-eight thousand".