470869200 has 150 divisors (see below), whose sum is σ = 1690028054. Its totient is φ = 125556480.

The previous prime is 470869181. The next prime is 470869211. The reversal of 470869200 is 2968074.

It can be written as a sum of positive squares in 3 ways, for example, as 37896336 + 432972864 = 6156^2 + 20808^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 25134 + ... + 39666.

Almost surely, 2^470869200 is an apocalyptic number.

470869200 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 470869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845014027).

470869200 is an abundant number, since it is smaller than the sum of its proper divisors (1219158854).

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

470869200 is a wasteful number, since it uses less digits than its factorization.

470869200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14563 (or 14543 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 470869200 is about 21699.5207320346. The cubic root of 470869200 is about 777.9770062571.

The spelling of 470869200 in words is "four hundred seventy million, eight hundred sixty-nine thousand, two hundred".