470845440 has 384 divisors, whose sum is σ = 1816214400. Its totient is φ = 115015680.

The previous prime is 470845411. The next prime is 470845477. The reversal of 470845440 is 44548074.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 470845395 and 470845404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594175 + ... + 3594305.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^470845440 is an apocalyptic number.

470845440 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 470845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

470845440 is an abundant number, since it is smaller than the sum of its proper divisors (1345368960).

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

470845440 is a wasteful number, since it uses less digits than its factorization.

470845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 470845440 is about 21698.9732475986. The cubic root of 470845440 is about 777.9639204967.

The spelling of 470845440 in words is "four hundred seventy million, eight hundred forty-five thousand, four hundred forty".