470581440 has 224 divisors, whose sum is σ = 1720535040. Its totient is φ = 106745856.

The previous prime is 470581439. The next prime is 470581481. The reversal of 470581440 is 44185074.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 1605934 + ... + 1606226.

It is an arithmetic number, because the mean of its divisors is an integer number (7680960).

Almost surely, 2^470581440 is an apocalyptic number.

470581440 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 470581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

470581440 is an abundant number, since it is smaller than the sum of its proper divisors (1249953600).

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

470581440 is a wasteful number, since it uses less digits than its factorization.

470581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 470581440 is about 21692.8891575097. The cubic root of 470581440 is about 777.8184935299.

The spelling of 470581440 in words is "four hundred seventy million, five hundred eighty-one thousand, four hundred forty".