470436408 has 144 divisors (see below), whose sum is σ = 1420506360. Its totient is φ = 139812480.

The previous prime is 470436401. The next prime is 470436443. The reversal of 470436408 is 804634074.

470436408 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 3 + 640 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470436401) 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 35 ways as a sum of consecutive naturals, for example, 899235 + ... + 899757.

Almost surely, 2^470436408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470436408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710253180).

470436408 is an abundant number, since it is smaller than the sum of its proper divisors (950069952).

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

470436408 is a wasteful number, since it uses less digits than its factorization.

470436408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 470436408 is about 21689.5460533410. The cubic root of 470436408 is about 777.7385780939.

The spelling of 470436408 in words is "four hundred seventy million, four hundred thirty-six thousand, four hundred eight".