480222432 has 72 divisors (see below), whose sum is σ = 1416234456. Its totient is φ = 160071552.

The previous prime is 480222427. The next prime is 480222481. The reversal of 480222432 is 234222084.

480222432 is a `hidden beast` number, since 4 + 8 + 0 + 222 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×480222432² = 461227168391989248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 480222396 and 480222405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23103 + ... + 38654.

It is an arithmetic number, because the mean of its divisors is an integer number (19669923).

Almost surely, 2^480222432 is an apocalyptic number.

It is an amenable number.

480222432 is an abundant number, since it is smaller than the sum of its proper divisors (936012024).

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

480222432 is an equidigital number, since it uses as much as digits as its factorization.

480222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61782 (or 61762 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 480222432 is about 21913.9780049173. The cubic root of 480222432 is about 783.0944528679.

The spelling of 480222432 in words is "four hundred eighty million, two hundred twenty-two thousand, four hundred thirty-two".