44958240 has 120 divisors (see below), whose sum is σ = 158710860. Its totient is φ = 11985408.

The previous prime is 44958227. The next prime is 44958241. The reversal of 44958240 is 4285944.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 6170256 = 6228^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 44958195 and 44958204.

It is not an unprimeable number, because it can be changed into a prime (44958241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11226 + ... + 14694.

Almost surely, 2^44958240 is an apocalyptic number.

44958240 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 44958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79355430).

44958240 is an abundant number, since it is smaller than the sum of its proper divisors (113752620).

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

44958240 is a wasteful number, since it uses less digits than its factorization.

44958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 44958240 is about 6705.0906034147. The cubic root of 44958240 is about 355.5792698303.

The spelling of 44958240 in words is "forty-four million, nine hundred fifty-eight thousand, two hundred forty".