440829480 has 384 divisors, whose sum is σ = 1700697600. Its totient is φ = 90574848.

The previous prime is 440829479. The next prime is 440829527. The reversal of 440829480 is 84928044.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5580081 + ... + 5580159.

It is an arithmetic number, because the mean of its divisors is an integer number (4428900).

Almost surely, 2^440829480 is an apocalyptic number.

440829480 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 440829480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850348800).

440829480 is an abundant number, since it is smaller than the sum of its proper divisors (1259868120).

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

440829480 is a wasteful number, since it uses less digits than its factorization.

440829480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 440829480 is about 20995.9396074574. The cubic root of 440829480 is about 761.0681425809.

The spelling of 440829480 in words is "four hundred forty million, eight hundred twenty-nine thousand, four hundred eighty".