44661960 has 192 divisors, whose sum is σ = 170726400. Its totient is φ = 9911808.

The previous prime is 44661949. The next prime is 44661973. The reversal of 44661960 is 6916644.

44661960 = T₄₁₉ + T₄₂₀ + ... + T₆₉₈.

44661960 is a `hidden beast` number, since 4 + 466 + 196 + 0 = 666.

44661960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93001 + ... + 93479.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 2^44661960 is an apocalyptic number.

44661960 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 44661960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

44661960 is an abundant number, since it is smaller than the sum of its proper divisors (126064440).

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

44661960 is a wasteful number, since it uses less digits than its factorization.

44661960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44661960 is about 6682.9604218490. The cubic root of 44661960 is about 354.7964448336.

The spelling of 44661960 in words is "forty-four million, six hundred sixty-one thousand, nine hundred sixty".