470007440 has 80 divisors (see below), whose sum is σ = 1269442560. Its totient is φ = 158492160.

The previous prime is 470007413. The next prime is 470007457. The reversal of 470007440 is 44700074.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27281 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (15868032).

Almost surely, 2^470007440 is an apocalyptic number.

470007440 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 470007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634721280).

470007440 is an abundant number, since it is smaller than the sum of its proper divisors (799435120).

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

470007440 is a wasteful number, since it uses less digits than its factorization.

470007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 470007440 is about 21679.6549788044. The cubic root of 470007440 is about 777.5021122553.

The spelling of 470007440 in words is "four hundred seventy million, seven thousand, four hundred forty".