404038368 has 120 divisors (see below), whose sum is σ = 1201262832. Its totient is φ = 133208064.

The previous prime is 404038361. The next prime is 404038387. The reversal of 404038368 is 863830404.

It is a super-2 number, since 2×404038368² = 326494005632206848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404038361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250621 + ... + 252227.

Almost surely, 2^404038368 is an apocalyptic number.

404038368 is a gapful number since it is divisible by the number (48) 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 404038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600631416).

404038368 is an abundant number, since it is smaller than the sum of its proper divisors (797224464).

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

404038368 is a wasteful number, since it uses less digits than its factorization.

404038368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 404038368 is about 20100.7056592549. The cubic root of 404038368 is about 739.2775808269.

The spelling of 404038368 in words is "four hundred four million, thirty-eight thousand, three hundred sixty-eight".