44460864 has 84 divisors (see below), whose sum is σ = 145657824. Its totient is φ = 12701952.

The previous prime is 44460853. The next prime is 44460883. The reversal of 44460864 is 46806444.

44460864 is a `hidden beast` number, since 4 + 44 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 9545.

Almost surely, 2^44460864 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 44460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828912).

44460864 is an abundant number, since it is smaller than the sum of its proper divisors (101196960).

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

44460864 is a wasteful number, since it uses less digits than its factorization.

44460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11039 counting only the distinct ones).

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

The square root of 44460864 is about 6667.8980196161. The cubic root of 44460864 is about 354.2631386437.

The spelling of 44460864 in words is "forty-four million, four hundred sixty thousand, eight hundred sixty-four".