486462144 has 112 divisors (see below), whose sum is σ = 1535021568. Its totient is φ = 132937728.

The previous prime is 486462133. The next prime is 486462169. The reversal of 486462144 is 441264684.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 23044 + ... + 38780.

Almost surely, 2^486462144 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 486462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767510784).

486462144 is an abundant number, since it is smaller than the sum of its proper divisors (1048559424).

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

486462144 is a wasteful number, since it uses less digits than its factorization.

486462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 15772 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 486462144 is about 22055.8868332244. The cubic root of 486462144 is about 786.4715491702.

The spelling of 486462144 in words is "four hundred eighty-six million, four hundred sixty-two thousand, one hundred forty-four".