64480900 has 81 divisors (see below), whose sum is σ = 155935983. Its totient is φ = 23126400.

The previous prime is 64480873. The next prime is 64480901. The reversal of 64480900 is 908446.

The square root of 64480900 is 8030.

It is a perfect power (a square), and thus also a powerful number.

64480900 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 64128064 = 594^2 + 8008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64480901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 883264 + ... + 883336.

Almost surely, 2^64480900 is an apocalyptic number.

64480900 is the 8030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64480900

64480900 is an abundant number, since it is smaller than the sum of its proper divisors (91455083).

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

64480900 is a wasteful number, since it uses less digits than its factorization.

64480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 64480900 is about 400.9993760394. Note that the first 3 decimals are identical.

The spelling of 64480900 in words is "sixty-four million, four hundred eighty thousand, nine hundred".