64484400 has 240 divisors, whose sum is σ = 228333600. Its totient is φ = 15482880.

The previous prime is 64484389. The next prime is 64484437. The reversal of 64484400 is 448446.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591546 + ... + 591654.

It is an arithmetic number, because the mean of its divisors is an integer number (951390).

Almost surely, 2^64484400 is an apocalyptic number.

64484400 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 64484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114166800).

64484400 is an abundant number, since it is smaller than the sum of its proper divisors (163849200).

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

64484400 is a wasteful number, since it uses less digits than its factorization.

64484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 64484400 is about 8030.2179297949. The cubic root of 64484400 is about 401.0066312753.

The spelling of 64484400 in words is "sixty-four million, four hundred eighty-four thousand, four hundred".