404628840 has 288 divisors, whose sum is σ = 1653200640. Its totient is φ = 84015360.

The previous prime is 404628827. The next prime is 404628841. The reversal of 404628840 is 48826404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404628795 and 404628804.

It is not an unprimeable number, because it can be changed into a prime (404628841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304257 + ... + 305583.

It is an arithmetic number, because the mean of its divisors is an integer number (5740280).

Almost surely, 2^404628840 is an apocalyptic number.

404628840 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 404628840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826600320).

404628840 is an abundant number, since it is smaller than the sum of its proper divisors (1248571800).

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

404628840 is a wasteful number, since it uses less digits than its factorization.

404628840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 404628840 is about 20115.3881394320. The cubic root of 404628840 is about 739.6375385852.

The spelling of 404628840 in words is "four hundred four million, six hundred twenty-eight thousand, eight hundred forty".