44989920 has 144 divisors (see below), whose sum is σ = 155282400. Its totient is φ = 11860992.

The previous prime is 44989907. The next prime is 44989937. The reversal of 44989920 is 2998944.

44989920 = T₄₃₇ + T₄₃₈ + ... + T₇₀₆.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×44989920³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 225981 + ... + 226179.

It is an arithmetic number, because the mean of its divisors is an integer number (1078350).

Almost surely, 2^44989920 is an apocalyptic number.

44989920 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 44989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

44989920 is an abundant number, since it is smaller than the sum of its proper divisors (110292480).

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

44989920 is a wasteful number, since it uses less digits than its factorization.

44989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 44989920 is about 6707.4525715804. The cubic root of 44989920 is about 355.6627703291.

The spelling of 44989920 in words is "forty-four million, nine hundred eighty-nine thousand, nine hundred twenty".