630789504 has 64 divisors (see below), whose sum is σ = 1690478640. Its totient is φ = 208388096.

The previous prime is 630789487. The next prime is 630789521. The reversal of 630789504 is 405987036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (630789487) and next prime (630789521).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 36124 + ... + 50660.

Almost surely, 2^630789504 is an apocalyptic number.

630789504 is a gapful number since it is divisible by the number (64) 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 630789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845239320).

630789504 is an abundant number, since it is smaller than the sum of its proper divisors (1059689136).

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

630789504 is a wasteful number, since it uses less digits than its factorization.

630789504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667 (or 14655 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 630789504 is about 25115.5231679533. The cubic root of 630789504 is about 857.6198401699.

The spelling of 630789504 in words is "six hundred thirty million, seven hundred eighty-nine thousand, five hundred four".