44979000 has 256 divisors, whose sum is σ = 161740800. Its totient is φ = 10304000.

The previous prime is 44978987. The next prime is 44979001. The reversal of 44979000 is 97944.

44979000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×44979000² = 4046220882000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44979001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 956977 + ... + 957023.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^44979000 is an apocalyptic number.

44979000 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 44979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

44979000 is an abundant number, since it is smaller than the sum of its proper divisors (116761800).

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

44979000 is a wasteful number, since it uses less digits than its factorization.

44979000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 44979000 is about 6706.6385022603. The cubic root of 44979000 is about 355.6339923886.

The spelling of 44979000 in words is "forty-four million, nine hundred seventy-nine thousand".