482226624 has 336 divisors, whose sum is σ = 1653271776. Its totient is φ = 133816320.

The previous prime is 482226617. The next prime is 482226643. The reversal of 482226624 is 426622284.

482226624 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 26 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 13033134 + ... + 13033170.

Almost surely, 2^482226624 is an apocalyptic number.

482226624 is a gapful number since it is divisible by the number (44) 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 482226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826635888).

482226624 is an abundant number, since it is smaller than the sum of its proper divisors (1171045152).

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

482226624 is a wasteful number, since it uses less digits than its factorization.

482226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 482226624 is about 21959.6590137461. The cubic root of 482226624 is about 784.1823468678.

The spelling of 482226624 in words is "four hundred eighty-two million, two hundred twenty-six thousand, six hundred twenty-four".