44407008 has 96 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 14629248.

The previous prime is 44406991. The next prime is 44407019. The reversal of 44407008 is 80070444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×44407008³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 88743 + ... + 89241.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^44407008 is an apocalyptic number.

44407008 is a gapful number since it is divisible by the number (48) 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 44407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

44407008 is an abundant number, since it is smaller than the sum of its proper divisors (86632992).

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

44407008 is a wasteful number, since it uses less digits than its factorization.

44407008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 44407008 is about 6663.8583418317. The cubic root of 44407008 is about 354.1200397272.

The spelling of 44407008 in words is "forty-four million, four hundred seven thousand, eight".