470788200 has 168 divisors, whose sum is σ = 1641631350. Its totient is φ = 125504640.

The previous prime is 470788183. The next prime is 470788211. The reversal of 470788200 is 2887074.

It can be written as a sum of positive squares in 3 ways, for example, as 304223364 + 166564836 = 17442^2 + 12906^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 144186 + ... + 147414.

Almost surely, 2^470788200 is an apocalyptic number.

470788200 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 470788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820815675).

470788200 is an abundant number, since it is smaller than the sum of its proper divisors (1170843150).

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

470788200 is a wasteful number, since it uses less digits than its factorization.

470788200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 470788200 is about 21697.6542510936. The cubic root of 470788200 is about 777.9323939025.

It can be divided in two parts, 47078 and 8200, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 470788200 in words is "four hundred seventy million, seven hundred eighty-eight thousand, two hundred".