470217600 has 288 divisors, whose sum is σ = 1738783800. Its totient is φ = 120852480.

The previous prime is 470217523. The next prime is 470217611. The reversal of 470217600 is 6712074.

470217600 is a `hidden beast` number, since 47 + 0 + 2 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×470217600² = 442209182699520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834919 + ... + 835481.

Almost surely, 2^470217600 is an apocalyptic number.

470217600 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 470217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869391900).

470217600 is an abundant number, since it is smaller than the sum of its proper divisors (1268566200).

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

470217600 is a wasteful number, since it uses less digits than its factorization.

470217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 470217600 is about 21684.5013777121. The cubic root of 470217600 is about 777.6179795670.

Adding to 470217600 its reverse (6712074), we get a palindrome (476929674).

The spelling of 470217600 in words is "four hundred seventy million, two hundred seventeen thousand, six hundred".