486525312 has 576 divisors, whose sum is σ = 1915131600. Its totient is φ = 120766464.

The previous prime is 486525301. The next prime is 486525313. The reversal of 486525312 is 213525684.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (57600) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486525313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28619128 + ... + 28619144.

Almost surely, 2^486525312 is an apocalyptic number.

486525312 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 486525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957565800).

486525312 is an abundant number, since it is smaller than the sum of its proper divisors (1428606288).

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

486525312 is a wasteful number, since it uses less digits than its factorization.

486525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 486525312 is about 22057.3187853828. The cubic root of 486525312 is about 786.5055892871.

The spelling of 486525312 in words is "four hundred eighty-six million, five hundred twenty-five thousand, three hundred twelve".