6406452000 has 672 divisors, whose sum is σ = 25565969520. Its totient is φ = 1576972800.

The previous prime is 6406451957. The next prime is 6406452079. The reversal of 6406452000 is 2546046.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 3288793104 + 3117658896 = 57348^2 + 55836^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 492803994 + ... + 492804006.

Almost surely, 2^6406452000 is an apocalyptic number.

6406452000 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 6406452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12782984760).

6406452000 is an abundant number, since it is smaller than the sum of its proper divisors (19159517520).

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

6406452000 is an frugal number, since it uses more digits than its factorization.

6406452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6406452000 is about 80040.3148419595. The cubic root of 6406452000 is about 1857.2592308028.

Adding to 6406452000 its reverse (2546046), we get a palindrome (6408998046).

The spelling of 6406452000 in words is "six billion, four hundred six million, four hundred fifty-two thousand".