480049416 has 224 divisors, whose sum is σ = 1684094400. Its totient is φ = 124571520.

The previous prime is 480049397. The next prime is 480049457. The reversal of 480049416 is 614940084.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 448530 + ... + 449598.

Almost surely, 2^480049416 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 480049416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842047200).

480049416 is an abundant number, since it is smaller than the sum of its proper divisors (1204044984).

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

480049416 is a wasteful number, since it uses less digits than its factorization.

480049416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480049416 is about 21910.0300319283. The cubic root of 480049416 is about 783.0003963533. Note that the first 3 decimals are identical.

The spelling of 480049416 in words is "four hundred eighty million, forty-nine thousand, four hundred sixteen".