479443440 has 240 divisors, whose sum is σ = 1760780160. Its totient is φ = 107573760.

The previous prime is 479443439. The next prime is 479443451. The reversal of 479443440 is 44344974.

It is a happy number.

479443440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693495 + ... + 694185.

It is an arithmetic number, because the mean of its divisors is an integer number (7336584).

Almost surely, 2^479443440 is an apocalyptic number.

479443440 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 479443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880390080).

479443440 is an abundant number, since it is smaller than the sum of its proper divisors (1281336720).

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

479443440 is a wasteful number, since it uses less digits than its factorization.

479443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 479443440 is about 21896.1969300607. The cubic root of 479443440 is about 782.6707919274.

The spelling of 479443440 in words is "four hundred seventy-nine million, four hundred forty-three thousand, four hundred forty".