64464200 has 48 divisors (see below), whose sum is σ = 150907380. Its totient is φ = 25608960.

The previous prime is 64464199. The next prime is 64464203. The reversal of 64464200 is 246446.

It can be written as a sum of positive squares in 6 ways, for example, as 17322244 + 47141956 = 4162^2 + 6866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64464200.

It is not an unprimeable number, because it can be changed into a prime (64464203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30374 + ... + 32426.

Almost surely, 2^64464200 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 64464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75453690).

64464200 is an abundant number, since it is smaller than the sum of its proper divisors (86443180).

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

64464200 is a wasteful number, since it uses less digits than its factorization.

64464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 64464200 is about 8028.9600821028. The cubic root of 64464200 is about 400.9647545841.

The spelling of 64464200 in words is "sixty-four million, four hundred sixty-four thousand, two hundred".