450008064 has 264 divisors, whose sum is σ = 1486809792. Its totient is φ = 129761280.

The previous prime is 450008063. The next prime is 450008077. The reversal of 450008064 is 460800054.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450008063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331552 + ... + 2331744.

Almost surely, 2^450008064 is an apocalyptic number.

450008064 is a gapful number since it is divisible by the number (44) 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 450008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743404896).

450008064 is an abundant number, since it is smaller than the sum of its proper divisors (1036801728).

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

450008064 is a wasteful number, since it uses less digits than its factorization.

450008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450008064 is about 21213.3935050477. The cubic root of 450008064 is about 766.3140097879.

The spelling of 450008064 in words is "four hundred fifty million, eight thousand, sixty-four".