44820480 has 96 divisors (see below), whose sum is σ = 143488800. Its totient is φ = 11943936.

The previous prime is 44820463. The next prime is 44820493. The reversal of 44820480 is 8402844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29991 + ... + 31449.

It is an arithmetic number, because the mean of its divisors is an integer number (1494675).

Almost surely, 2^44820480 is an apocalyptic number.

44820480 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 44820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744400).

44820480 is an abundant number, since it is smaller than the sum of its proper divisors (98668320).

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

44820480 is a wasteful number, since it uses less digits than its factorization.

44820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 44820480 is about 6694.8099300876. The cubic root of 44820480 is about 355.2157123153.

The spelling of 44820480 in words is "forty-four million, eight hundred twenty thousand, four hundred eighty".