404266440 has 128 divisors (see below), whose sum is σ = 1261733760. Its totient is φ = 103532544.

The previous prime is 404266433. The next prime is 404266453. The reversal of 404266440 is 44662404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404266398 and 404266407.

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, 367972 + ... + 369068.

It is an arithmetic number, because the mean of its divisors is an integer number (9857295).

Almost surely, 2^404266440 is an apocalyptic number.

404266440 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 404266440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630866880).

404266440 is an abundant number, since it is smaller than the sum of its proper divisors (857467320).

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

404266440 is a wasteful number, since it uses less digits than its factorization.

404266440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 404266440 is about 20106.3780925357. The cubic root of 404266440 is about 739.4166573885.

The spelling of 404266440 in words is "four hundred four million, two hundred sixty-six thousand, four hundred forty".