404434272 has 144 divisors (see below), whose sum is σ = 1199738736. Its totient is φ = 119116800.

The previous prime is 404434271. The next prime is 404434273. The reversal of 404434272 is 272434404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404434271) and next prime (404434273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404434271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429322 + ... + 430262.

It is an arithmetic number, because the mean of its divisors is an integer number (8331519).

Almost surely, 2^404434272 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 404434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599869368).

404434272 is an abundant number, since it is smaller than the sum of its proper divisors (795304464).

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

404434272 is a wasteful number, since it uses less digits than its factorization.

404434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 404434272 is about 20110.5512604702. The cubic root of 404434272 is about 739.5189666537.

Adding to 404434272 its reverse (272434404), we get a palindrome (676868676).

The spelling of 404434272 in words is "four hundred four million, four hundred thirty-four thousand, two hundred seventy-two".