44791164 has 96 divisors (see below), whose sum is σ = 130233600. Its totient is φ = 13193280.

The previous prime is 44791139. The next prime is 44791169. The reversal of 44791164 is 46119744.

44791164 = 232² + 233² + ... + 527².

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44791169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43447 + ... + 44465.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^44791164 is an apocalyptic number.

44791164 is a gapful number since it is divisible by the number (44) 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 44791164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65116800).

44791164 is an abundant number, since it is smaller than the sum of its proper divisors (85442436).

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

44791164 is a wasteful number, since it uses less digits than its factorization.

44791164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 44791164 is about 6692.6201147234. The cubic root of 44791164 is about 355.1382494006.

The spelling of 44791164 in words is "forty-four million, seven hundred ninety-one thousand, one hundred sixty-four".