44142480 has 120 divisors (see below), whose sum is σ = 152343672. Its totient is φ = 11446272.

The previous prime is 44142479. The next prime is 44142521. The reversal of 44142480 is 8424144.

It is a happy number.

44142480 is a `hidden beast` number, since 4 + 414 + 248 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 35569296 = 2928^2 + 5964^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 25812 + ... + 27468.

Almost surely, 2^44142480 is an apocalyptic number.

44142480 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 44142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76171836).

44142480 is an abundant number, since it is smaller than the sum of its proper divisors (108201192).

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

44142480 is a wasteful number, since it uses less digits than its factorization.

44142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 44142480 is about 6643.9807344694. The cubic root of 44142480 is about 353.4154866129.

The spelling of 44142480 in words is "forty-four million, one hundred forty-two thousand, four hundred eighty".