633463040 has 216 divisors, whose sum is σ = 1855788480. Its totient is φ = 202383360.

The previous prime is 633463031. The next prime is 633463043. The reversal of 633463040 is 40364336.

It is a junction number, because it is equal to n+sod(n) for n = 633462994 and 633463012.

It is not an unprimeable number, because it can be changed into a prime (633463043) 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, 10384610 + ... + 10384670.

Almost surely, 2^633463040 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 633463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927894240).

633463040 is an abundant number, since it is smaller than the sum of its proper divisors (1222325440).

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

633463040 is an equidigital number, since it uses as much as digits as its factorization.

633463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 633463040 is about 25168.6916624603. The cubic root of 633463040 is about 858.8297766776.

The spelling of 633463040 in words is "six hundred thirty-three million, four hundred sixty-three thousand, forty".