470365280 has 192 divisors, whose sum is σ = 1407103488. Its totient is φ = 144322560.

The previous prime is 470365279. The next prime is 470365339. The reversal of 470365280 is 82563074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 470365280.

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, 899099 + ... + 899621.

It is an arithmetic number, because the mean of its divisors is an integer number (7328664).

Almost surely, 2^470365280 is an apocalyptic number.

470365280 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 470365280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703551744).

470365280 is an abundant number, since it is smaller than the sum of its proper divisors (936738208).

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

470365280 is a wasteful number, since it uses less digits than its factorization.

470365280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 470365280 is about 21687.9063074332. The cubic root of 470365280 is about 777.6993791878.

The spelling of 470365280 in words is "four hundred seventy million, three hundred sixty-five thousand, two hundred eighty".