480636144 has 60 divisors (see below), whose sum is σ = 1353431976. Its totient is φ = 159221376.

The previous prime is 480636131. The next prime is 480636173. The reversal of 480636144 is 441636084.

480636144 is a `hidden beast` number, since 4 + 8 + 0 + 636 + 14 + 4 = 666.

It is a super-3 number, since 3×480636144³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 480636099 and 480636108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13234 + ... + 33710.

Almost surely, 2^480636144 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 480636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676715988).

480636144 is an abundant number, since it is smaller than the sum of its proper divisors (872795832).

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

480636144 is a wasteful number, since it uses less digits than its factorization.

480636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20654 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480636144 is about 21923.4154273462. The cubic root of 480636144 is about 783.3192671485.

The spelling of 480636144 in words is "four hundred eighty million, six hundred thirty-six thousand, one hundred forty-four".