633149440 has 288 divisors, whose sum is σ = 1934543520. Its totient is φ = 194641920.

The previous prime is 633149423. The next prime is 633149467. The reversal of 633149440 is 44941336.

It is a junction number, because it is equal to n+sod(n) for n = 633149396 and 633149405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8673244 + ... + 8673316.

It is an arithmetic number, because the mean of its divisors is an integer number (6717165).

Almost surely, 2^633149440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 633149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967271760).

633149440 is an abundant number, since it is smaller than the sum of its proper divisors (1301394080).

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

633149440 is a wasteful number, since it uses less digits than its factorization.

633149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 633149440 is about 25162.4609289314. The cubic root of 633149440 is about 858.6880301943.

The spelling of 633149440 in words is "six hundred thirty-three million, one hundred forty-nine thousand, four hundred forty".