44429040 has 160 divisors (see below), whose sum is σ = 155823360. Its totient is φ = 11632896.

The previous prime is 44429029. The next prime is 44429051. The reversal of 44429040 is 4092444.

It is an interprime number because it is at equal distance from previous prime (44429029) and next prime (44429051).

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

It is a junction number, because it is equal to n+sod(n) for n = 44428995 and 44429013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144567 + ... + 144873.

It is an arithmetic number, because the mean of its divisors is an integer number (973896).

Almost surely, 2^44429040 is an apocalyptic number.

44429040 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 44429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77911680).

44429040 is an abundant number, since it is smaller than the sum of its proper divisors (111394320).

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

44429040 is a wasteful number, since it uses less digits than its factorization.

44429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44429040 is about 6665.5112332063. The cubic root of 44429040 is about 354.1785941696.

The spelling of 44429040 in words is "forty-four million, four hundred twenty-nine thousand, forty".