330400404 has 48 divisors (see below), whose sum is σ = 857808000. Its totient is φ = 109977408.

The previous prime is 330400403. The next prime is 330400453. The reversal of 330400404 is 404004033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330400403) 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, 94072 + ... + 97520.

It is an arithmetic number, because the mean of its divisors is an integer number (17871000).

Almost surely, 2^330400404 is an apocalyptic number.

It is an amenable number.

330400404 is an abundant number, since it is smaller than the sum of its proper divisors (527407596).

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

330400404 is a wasteful number, since it uses less digits than its factorization.

330400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330400404 is about 18176.9195410003. The cubic root of 330400404 is about 691.3217010580.

Adding to 330400404 its reverse (404004033), we get a palindrome (734404437).

The spelling of 330400404 in words is "three hundred thirty million, four hundred thousand, four hundred four".