473202000 has 400 divisors, whose sum is σ = 1797599232. Its totient is φ = 119750400.

The previous prime is 473201983. The next prime is 473202001. The reversal of 473202000 is 202374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473202001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3725937 + ... + 3726063.

Almost surely, 2^473202000 is an apocalyptic number.

473202000 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 473202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898799616).

473202000 is an abundant number, since it is smaller than the sum of its proper divisors (1324397232).

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

473202000 is a wasteful number, since it uses less digits than its factorization.

473202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 473202000 is about 21753.2066601685. The cubic root of 473202000 is about 779.2596525412.

Adding to 473202000 its reverse (202374), we get a palindrome (473404374).

The spelling of 473202000 in words is "four hundred seventy-three million, two hundred two thousand".