404250768 has 60 divisors (see below), whose sum is σ = 1135081740. Its totient is φ = 134304768.

The previous prime is 404250761. The next prime is 404250773. The reversal of 404250768 is 867052404.

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 328769424 = 8688^2 + 18132^2 .

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 (404250761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40588 + ... + 49556.

It is an arithmetic number, because the mean of its divisors is an integer number (18918029).

Almost surely, 2^404250768 is an apocalyptic number.

404250768 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 404250768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567540870).

404250768 is an abundant number, since it is smaller than the sum of its proper divisors (730830972).

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

404250768 is a wasteful number, since it uses less digits than its factorization.

404250768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 404250768 is about 20105.9883616797. The cubic root of 404250768 is about 739.4071023967.

The spelling of 404250768 in words is "four hundred four million, two hundred fifty thousand, seven hundred sixty-eight".