6452466000 has 160 divisors (see below), whose sum is σ = 21707682048. Its totient is φ = 1645811200.

The previous prime is 6452465947. The next prime is 6452466019. The reversal of 6452466000 is 6642546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114622 + ... + 161378.

Almost surely, 2^6452466000 is an apocalyptic number.

6452466000 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 6452466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10853841024).

6452466000 is an abundant number, since it is smaller than the sum of its proper divisors (15255216048).

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

6452466000 is a wasteful number, since it uses less digits than its factorization.

6452466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46806 (or 46790 counting only the distinct ones).

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

The square root of 6452466000 is about 80327.2431993032. The cubic root of 6452466000 is about 1861.6951825063.

The spelling of 6452466000 in words is "six billion, four hundred fifty-two million, four hundred sixty-six thousand".