470897280 has 512 divisors, whose sum is σ = 2026944000. Its totient is φ = 100859904.

The previous prime is 470897243. The next prime is 470897291. The reversal of 470897280 is 82798074.

It is a super-2 number, since 2×470897280² = 443488496622796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056206 + ... + 2056434.

It is an arithmetic number, because the mean of its divisors is an integer number (3958875).

Almost surely, 2^470897280 is an apocalyptic number.

470897280 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 470897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013472000).

470897280 is an abundant number, since it is smaller than the sum of its proper divisors (1556046720).

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

470897280 is a wasteful number, since it uses less digits than its factorization.

470897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 470897280 is about 21700.1677412872. The cubic root of 470897280 is about 777.9924706792.

The spelling of 470897280 in words is "four hundred seventy million, eight hundred ninety-seven thousand, two hundred eighty".