44467920 has 320 divisors, whose sum is σ = 186416640. Its totient is φ = 9510912.

The previous prime is 44467879. The next prime is 44467921. The reversal of 44467920 is 2976444.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 (44467921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256954 + ... + 257126.

It is an arithmetic number, because the mean of its divisors is an integer number (582552).

Almost surely, 2^44467920 is an apocalyptic number.

44467920 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 44467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93208320).

44467920 is an abundant number, since it is smaller than the sum of its proper divisors (141948720).

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

44467920 is a wasteful number, since it uses less digits than its factorization.

44467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 44467920 is about 6668.4271008987. The cubic root of 44467920 is about 354.2818783342.

The spelling of 44467920 in words is "forty-four million, four hundred sixty-seven thousand, nine hundred twenty".