633276480 has 336 divisors, whose sum is σ = 2224918080. Its totient is φ = 152334336.

The previous prime is 633276473. The next prime is 633276481. The reversal of 633276480 is 84672336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633276481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14727339 + ... + 14727381.

It is an arithmetic number, because the mean of its divisors is an integer number (6621780).

Almost surely, 2^633276480 is an apocalyptic number.

633276480 is a gapful number since it is divisible by the number (60) 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 633276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112459040).

633276480 is an abundant number, since it is smaller than the sum of its proper divisors (1591641600).

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

633276480 is a wasteful number, since it uses less digits than its factorization.

633276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 633276480 is about 25164.9851976909. The cubic root of 633276480 is about 858.7454576226.

The spelling of 633276480 in words is "six hundred thirty-three million, two hundred seventy-six thousand, four hundred eighty".