4315646400 has 672 divisors, whose sum is σ = 16593604608. Its totient is φ = 973209600.

The previous prime is 4315646399. The next prime is 4315646407. The reversal of 4315646400 is 46465134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315646407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44491152 + ... + 44491248.

It is an arithmetic number, because the mean of its divisors is an integer number (24692864).

Almost surely, 2^4315646400 is an apocalyptic number.

4315646400 is a gapful number since it is divisible by the number (40) 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 4315646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296802304).

4315646400 is an abundant number, since it is smaller than the sum of its proper divisors (12277958208).

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

4315646400 is a wasteful number, since it uses less digits than its factorization.

4315646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4315646400 is about 65693.5795949650. The cubic root of 4315646400 is about 1628.1032801162.

The spelling of 4315646400 in words is "four billion, three hundred fifteen million, six hundred forty-six thousand, four hundred".