480963522 has 48 divisors (see below), whose sum is σ = 1045489248. Its totient is φ = 147438720.

The previous prime is 480963401. The next prime is 480963523. The reversal of 480963522 is 225369084.

It is a happy number.

It is a super-3 number, since 3×480963522³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (480963523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334918 + ... + 336350.

It is an arithmetic number, because the mean of its divisors is an integer number (21781026).

Almost surely, 2^480963522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480963522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522744624).

480963522 is an abundant number, since it is smaller than the sum of its proper divisors (564525726).

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

480963522 is a wasteful number, since it uses less digits than its factorization.

480963522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 480963522 is about 21930.8805568769. The cubic root of 480963522 is about 783.4970754528.

The spelling of 480963522 in words is "four hundred eighty million, nine hundred sixty-three thousand, five hundred twenty-two".