404595072 has 192 divisors, whose sum is σ = 1344245760. Its totient is φ = 114416640.

The previous prime is 404595049. The next prime is 404595077. The reversal of 404595072 is 270595404.

It is a tau number, because it is divible by the number of its divisors (192).

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 (404595077) 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, 1056193 + ... + 1056575.

It is an arithmetic number, because the mean of its divisors is an integer number (7001280).

Almost surely, 2^404595072 is an apocalyptic number.

404595072 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 404595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672122880).

404595072 is an abundant number, since it is smaller than the sum of its proper divisors (939650688).

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

404595072 is a wasteful number, since it uses less digits than its factorization.

404595072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 404595072 is about 20114.5487645137. The cubic root of 404595072 is about 739.6169627120.

The spelling of 404595072 in words is "four hundred four million, five hundred ninety-five thousand, seventy-two".