480226320 has 240 divisors, whose sum is σ = 1911960960. Its totient is φ = 109734912.

The previous prime is 480226277. The next prime is 480226333. The reversal of 480226320 is 23622084.

480226320 is a `hidden beast` number, since 4 + 8 + 0 + 22 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 134316 + ... + 137844.

It is an arithmetic number, because the mean of its divisors is an integer number (7966504).

Almost surely, 2^480226320 is an apocalyptic number.

480226320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955980480).

480226320 is an abundant number, since it is smaller than the sum of its proper divisors (1431734640).

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

480226320 is a wasteful number, since it uses less digits than its factorization.

480226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480226320 is about 21914.0667152402. The cubic root of 480226320 is about 783.0965662378.

The spelling of 480226320 in words is "four hundred eighty million, two hundred twenty-six thousand, three hundred twenty".