65433456 has 120 divisors (see below), whose sum is σ = 202241520. Its totient is φ = 19584000.

The previous prime is 65433437. The next prime is 65433457.

65433456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65433456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65433457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159780 + ... + 160188.

It is an arithmetic number, because the mean of its divisors is an integer number (1685346).

Almost surely, 2^65433456 is an apocalyptic number.

65433456 is a gapful number since it is divisible by the number (66) 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 65433456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101120760).

65433456 is an abundant number, since it is smaller than the sum of its proper divisors (136808064).

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

65433456 is a wasteful number, since it uses less digits than its factorization.

65433456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 65433456 is about 8089.0948813820. The cubic root of 65433456 is about 402.9643440593.

It can be divided in two parts, 6543 and 3456, that added together give a palindrome (9999).

The spelling of 65433456 in words is "sixty-five million, four hundred thirty-three thousand, four hundred fifty-six".