44385264 has 120 divisors (see below), whose sum is σ = 154906752. Its totient is φ = 11525760.

The previous prime is 44385233. The next prime is 44385293. The reversal of 44385264 is 46258344.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9087 + ... + 13089.

Almost surely, 2^44385264 is an apocalyptic number.

44385264 is a gapful number since it is divisible by the number (44) 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 44385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77453376).

44385264 is an abundant number, since it is smaller than the sum of its proper divisors (110521488).

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

44385264 is a wasteful number, since it uses less digits than its factorization.

44385264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4026 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 44385264 is about 6662.2266548054. The cubic root of 44385264 is about 354.0622317099.

Subtracting 44385264 from its reverse (46258344), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 44385264 in words is "forty-four million, three hundred eighty-five thousand, two hundred sixty-four".