6403452000 has 384 divisors, whose sum is σ = 23115456000. Its totient is φ = 1536768000.

The previous prime is 6403451987. The next prime is 6403452001. The reversal of 6403452000 is 2543046.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403452001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18347826 + ... + 18348174.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^6403452000 is an apocalyptic number.

6403452000 is a gapful number since it is divisible by the number (60) 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 6403452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

6403452000 is an abundant number, since it is smaller than the sum of its proper divisors (16712004000).

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

6403452000 is a wasteful number, since it uses less digits than its factorization.

6403452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6403452000 is about 80021.5720915304. The cubic root of 6403452000 is about 1856.9692810442.

Adding to 6403452000 its reverse (2543046), we get a palindrome (6405995046).

It can be divided in two parts, 6403 and 452000, that added together give a triangular number (458403 = T₉₅₇).

The spelling of 6403452000 in words is "six billion, four hundred three million, four hundred fifty-two thousand".