630416 has 30 divisors (see below), whose sum is σ = 1292886. Its totient is φ = 297600.

The previous prime is 630391. The next prime is 630433. The reversal of 630416 is 614036.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 246016 = 620^2 + 496^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 630416.

It is an unprimeable number.

630416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15356 + ... + 15396.

2⁶³⁰⁴¹⁶ 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 630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646443).

630416 is an abundant number, since it is smaller than the sum of its proper divisors (662470).

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

630416 is a wasteful number, since it uses less digits than its factorization.

630416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 630416 is about 793.9874054417. The cubic root of 630416 is about 85.7450535046.

Adding to 630416 its sum of digits (20), we get a square (630436 = 794²).

The spelling of 630416 in words is "six hundred thirty thousand, four hundred sixteen".