404146000 has 80 divisors (see below), whose sum is σ = 981611280. Its totient is φ = 160934400.

The previous prime is 404145971. The next prime is 404146009. The reversal of 404146000 is 641404.

It can be written as a sum of positive squares in 8 ways, for example, as 47389456 + 356756544 = 6884^2 + 18888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404146009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793746 + ... + 794254.

It is an arithmetic number, because the mean of its divisors is an integer number (12270141).

Almost surely, 2^404146000 is an apocalyptic number.

404146000 is a gapful number since it is divisible by the number (40) 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 404146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490805640).

404146000 is an abundant number, since it is smaller than the sum of its proper divisors (577465280).

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

404146000 is a wasteful number, since it uses less digits than its factorization.

404146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 404146000 is about 20103.3827999170. The cubic root of 404146000 is about 739.3432205172.

Adding to 404146000 its reverse (641404), we get a palindrome (404787404).

The spelling of 404146000 in words is "four hundred four million, one hundred forty-six thousand".