486468736 has 128 divisors (see below), whose sum is σ = 1145113200. Its totient is φ = 203685888.

The previous prime is 486468713. The next prime is 486468743. The reversal of 486468736 is 637864684.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 254211136 + 232257600 = 15944^2 + 15240^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×486468736² = 473303662210875392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820056 + ... + 820648.

Almost surely, 2^486468736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572556600).

486468736 is an abundant number, since it is smaller than the sum of its proper divisors (658644464).

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

486468736 is a wasteful number, since it uses less digits than its factorization.

486468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 486468736 is about 22056.0362712796. The cubic root of 486468736 is about 786.4751016200.

It can be divided in two parts, 486468 and 736, that added together give a square (487204 = 698²).

The spelling of 486468736 in words is "four hundred eighty-six million, four hundred sixty-eight thousand, seven hundred thirty-six".