404312040 has 128 divisors (see below), whose sum is σ = 1470268800. Its totient is φ = 98012160.

The previous prime is 404312023. The next prime is 404312053. The reversal of 404312040 is 40213404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5137 + ... + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 2^404312040 is an apocalyptic number.

404312040 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 404312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735134400).

404312040 is an abundant number, since it is smaller than the sum of its proper divisors (1065956760).

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

404312040 is a wasteful number, since it uses less digits than its factorization.

404312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34064 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404312040 is about 20107.5120290900. The cubic root of 404312040 is about 739.4444576448. Note that the first 4 decimals are identical.

Adding to 404312040 its reverse (40213404), we get a palindrome (444525444).

The spelling of 404312040 in words is "four hundred four million, three hundred twelve thousand, forty".