1630417360 has 240 divisors, whose sum is σ = 4721751360. Its totient is φ = 517570560.

The previous prime is 1630417343. The next prime is 1630417361. The reversal of 1630417360 is 637140361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630417361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2825392 + ... + 2825968.

It is an arithmetic number, because the mean of its divisors is an integer number (19673964).

Almost surely, 2^1630417360 is an apocalyptic number.

1630417360 is a gapful number since it is divisible by the number (10) 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 1630417360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360875680).

1630417360 is an abundant number, since it is smaller than the sum of its proper divisors (3091334000).

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

1630417360 is a wasteful number, since it uses less digits than its factorization.

1630417360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1630417360 is about 40378.4269133903. The cubic root of 1630417360 is about 1176.9723589853.

The spelling of 1630417360 in words is "one billion, six hundred thirty million, four hundred seventeen thousand, three hundred sixty".