404210352 has 160 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 102896640.

The previous prime is 404210347. The next prime is 404210353. The reversal of 404210352 is 253012404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (404210353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125077 + ... + 128267.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^404210352 is an apocalyptic number.

404210352 is a gapful number since it is divisible by the number (42) 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 404210352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

404210352 is an abundant number, since it is smaller than the sum of its proper divisors (925704528).

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

404210352 is a wasteful number, since it uses less digits than its factorization.

404210352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 404210352 is about 20104.9832628630. The cubic root of 404210352 is about 739.3824602061.

Adding to 404210352 its reverse (253012404), we get a palindrome (657222756).

The spelling of 404210352 in words is "four hundred four million, two hundred ten thousand, three hundred fifty-two".