440242920 has 192 divisors, whose sum is σ = 1622275200. Its totient is φ = 102643200.

The previous prime is 440242903. The next prime is 440242921. The reversal of 440242920 is 29242044.

It is a super-2 number, since 2×440242920² = 387627657220252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440242921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86445 + ... + 91395.

It is an arithmetic number, because the mean of its divisors is an integer number (8449350).

Almost surely, 2^440242920 is an apocalyptic number.

440242920 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 440242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811137600).

440242920 is an abundant number, since it is smaller than the sum of its proper divisors (1182032280).

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

440242920 is a wasteful number, since it uses less digits than its factorization.

440242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 440242920 is about 20981.9665427243. The cubic root of 440242920 is about 760.7304380999.

Adding to 440242920 its reverse (29242044), we get a palindrome (469484964).

The spelling of 440242920 in words is "four hundred forty million, two hundred forty-two thousand, nine hundred twenty".