404996436 has 72 divisors (see below), whose sum is σ = 1143358944. Its totient is φ = 124610400.

The previous prime is 404996429. The next prime is 404996497. The reversal of 404996436 is 634699404.

It is a happy number.

It is a super-2 number, since 2×404996436² = 328044226345404192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404996391 and 404996400.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3390 + ... + 28661.

Almost surely, 2^404996436 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 404996436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571679472).

404996436 is an abundant number, since it is smaller than the sum of its proper divisors (738362508).

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

404996436 is a wasteful number, since it uses less digits than its factorization.

404996436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32083 (or 32069 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 404996436 is about 20124.5232490114. The cubic root of 404996436 is about 739.8614520261.

The spelling of 404996436 in words is "four hundred four million, nine hundred ninety-six thousand, four hundred thirty-six".