6456352 has 96 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 2488320.

The previous prime is 6456337. The next prime is 6456361. The reversal of 6456352 is 2536546.

6456352 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×6456352² = 83368962295808, which contains 22 as substring.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157452 + ... + 157492.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^6456352 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 6456352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

6456352 is an abundant number, since it is smaller than the sum of its proper divisors (9631328).

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

6456352 is a wasteful number, since it uses less digits than its factorization.

6456352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 6456352 is about 2540.9352608833. The cubic root of 6456352 is about 186.2068843038.

The spelling of 6456352 in words is "six million, four hundred fifty-six thousand, three hundred fifty-two".