470242560 has 144 divisors (see below), whose sum is σ = 1514358720. Its totient is φ = 124354560.

The previous prime is 470242529. The next prime is 470242561. The reversal of 470242560 is 65242074.

It is a super-2 number, since 2×470242560² = 442256130470707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470242561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533320 + ... + 534200.

It is an arithmetic number, because the mean of its divisors is an integer number (10516380).

Almost surely, 2^470242560 is an apocalyptic number.

470242560 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 470242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757179360).

470242560 is an abundant number, since it is smaller than the sum of its proper divisors (1044116160).

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

470242560 is a wasteful number, since it uses less digits than its factorization.

470242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 470242560 is about 21685.0768963359. The cubic root of 470242560 is about 777.6317384461.

The spelling of 470242560 in words is "four hundred seventy million, two hundred forty-two thousand, five hundred sixty".