630793440 has 192 divisors, whose sum is σ = 2224696320. Its totient is φ = 166924800.

The previous prime is 630793391. The next prime is 630793477. The reversal of 630793440 is 44397036.

630793440 is a `hidden beast` number, since 6 + 307 + 9 + 344 + 0 = 666.

630793440 is nontrivially palindromic in base 11.

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

It is a junction number, because it is equal to n+sod(n) for n = 630793395 and 630793404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651837 + ... + 652803.

It is an arithmetic number, because the mean of its divisors is an integer number (11586960).

Almost surely, 2^630793440 is an apocalyptic number.

630793440 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 630793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112348160).

630793440 is an abundant number, since it is smaller than the sum of its proper divisors (1593902880).

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

630793440 is a wasteful number, since it uses less digits than its factorization.

630793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 630793440 is about 25115.6015257449. The cubic root of 630793440 is about 857.6216239582.

The spelling of 630793440 in words is "six hundred thirty million, seven hundred ninety-three thousand, four hundred forty".