480918438 has 384 divisors, whose sum is σ = 1544417280. Its totient is φ = 108864000.

The previous prime is 480918421. The next prime is 480918467. The reversal of 480918438 is 834819084.

480918438 is a `hidden beast` number, since 480 + 91 + 84 + 3 + 8 = 666.

It is a super-3 number, since 3×480918438³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 480918393 and 480918402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11729698 + ... + 11729738.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^480918438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480918438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

480918438 is an abundant number, since it is smaller than the sum of its proper divisors (1063498842).

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

480918438 is a wasteful number, since it uses less digits than its factorization.

480918438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 480918438 is about 21929.8526670837. The cubic root of 480918438 is about 783.4725938416.

The spelling of 480918438 in words is "four hundred eighty million, nine hundred eighteen thousand, four hundred thirty-eight".