44457840 has 120 divisors (see below), whose sum is σ = 170652768. Its totient is φ = 10160640.

The previous prime is 44457823. The next prime is 44457859. The reversal of 44457840 is 4875444.

44457840 is a `hidden beast` number, since 4 + 44 + 578 + 40 = 666.

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

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

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 = 44457795 and 44457804.

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, 630 + ... + 9450.

Almost surely, 2^44457840 is an apocalyptic number.

44457840 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 44457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85326384).

44457840 is an abundant number, since it is smaller than the sum of its proper divisors (126194928).

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

44457840 is a wasteful number, since it uses less digits than its factorization.

44457840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 44457840 is about 6667.6712576431. The cubic root of 44457840 is about 354.2551067409.

The spelling of 44457840 in words is "forty-four million, four hundred fifty-seven thousand, eight hundred forty".