470398720 has 72 divisors (see below), whose sum is σ = 1229220720. Its totient is φ = 171048960.

The previous prime is 470398711. The next prime is 470398727. The reversal of 470398720 is 27893074.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470398727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2625 + ... + 30784.

It is an arithmetic number, because the mean of its divisors is an integer number (17072510).

Almost surely, 2^470398720 is an apocalyptic number.

470398720 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 470398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614610360).

470398720 is an abundant number, since it is smaller than the sum of its proper divisors (758822000).

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

470398720 is a wasteful number, since it uses less digits than its factorization.

470398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33441 (or 33427 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 470398720 is about 21688.6772302969. The cubic root of 470398720 is about 777.7178085887.

The spelling of 470398720 in words is "four hundred seventy million, three hundred ninety-eight thousand, seven hundred twenty".