480226824 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 114462720.

The previous prime is 480226801. The next prime is 480226837. The reversal of 480226824 is 428622084.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4950744 + ... + 4950840.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^480226824 is an apocalyptic number.

480226824 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 480226824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

480226824 is an abundant number, since it is smaller than the sum of its proper divisors (1280950776).

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

480226824 is a wasteful number, since it uses less digits than its factorization.

480226824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 480226824 is about 21914.0782147002. The cubic root of 480226824 is about 783.0968401924.

It can be divided in two parts, 4802 and 26824, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 480226824 in words is "four hundred eighty million, two hundred twenty-six thousand, eight hundred twenty-four".