44664480 has 288 divisors, whose sum is σ = 182710080. Its totient is φ = 10160640.

The previous prime is 44664463. The next prime is 44664481. The reversal of 44664480 is 8446644.

44664480 is a `hidden beast` number, since 4 + 4 + 6 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44664481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211575 + ... + 211785.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 2^44664480 is an apocalyptic number.

44664480 is a gapful number since it is divisible by the number (40) 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 44664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355040).

44664480 is an abundant number, since it is smaller than the sum of its proper divisors (138045600).

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

44664480 is a wasteful number, since it uses less digits than its factorization.

44664480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44664480 is about 6683.1489583878. The cubic root of 44664480 is about 354.8031177026.

The spelling of 44664480 in words is "forty-four million, six hundred sixty-four thousand, four hundred eighty".