480366414 has 96 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 138883200.

The previous prime is 480366361. The next prime is 480366457. The reversal of 480366414 is 414663084.

480366414 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 6 + 641 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380917 + ... + 382175.

It is an arithmetic number, because the mean of its divisors is an integer number (12383280).

Almost surely, 2^480366414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480366414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

480366414 is an abundant number, since it is smaller than the sum of its proper divisors (708428466).

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

480366414 is a wasteful number, since it uses less digits than its factorization.

480366414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1363 counting only the distinct ones).

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

The square root of 480366414 is about 21917.2629221808. The cubic root of 480366414 is about 783.1727084368.

It can be divided in two parts, 4803 and 66414, that added together give a palindrome (71217).

The spelling of 480366414 in words is "four hundred eighty million, three hundred sixty-six thousand, four hundred fourteen".