486948672 has 336 divisors, whose sum is σ = 1709562240. Its totient is φ = 137168640.

The previous prime is 486948667. The next prime is 486948673. The reversal of 486948672 is 276849684.

486948672 is a `hidden beast` number, since 486 + 94 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486948673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6858397 + ... + 6858467.

Almost surely, 2^486948672 is an apocalyptic number.

486948672 is a gapful number since it is divisible by the number (42) 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 486948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854781120).

486948672 is an abundant number, since it is smaller than the sum of its proper divisors (1222613568).

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

486948672 is an frugal number, since it uses more digits than its factorization.

486948672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 486948672 is about 22066.9135132216. The cubic root of 486948672 is about 786.7336544826.

The spelling of 486948672 in words is "four hundred eighty-six million, nine hundred forty-eight thousand, six hundred seventy-two".