480001644 has 72 divisors (see below), whose sum is σ = 1256865792. Its totient is φ = 154297440.

The previous prime is 480001631. The next prime is 480001661. The reversal of 480001644 is 446100084.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426867 + ... + 427989.

Almost surely, 2^480001644 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 480001644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628432896).

480001644 is an abundant number, since it is smaller than the sum of its proper divisors (776864148).

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

480001644 is a wasteful number, since it uses less digits than its factorization.

480001644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480001644 is about 21908.9398191697. The cubic root of 480001644 is about 782.9744221275.

The spelling of 480001644 in words is "four hundred eighty million, one thousand, six hundred forty-four".