404914356 has 384 divisors, whose sum is σ = 1432166400. Its totient is φ = 95800320.

The previous prime is 404914309. The next prime is 404914357. The reversal of 404914356 is 653419404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 404914356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404914357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5546736 + ... + 5546808.

It is an arithmetic number, because the mean of its divisors is an integer number (3729600).

Almost surely, 2^404914356 is an apocalyptic number.

404914356 is a gapful number since it is divisible by the number (46) 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 404914356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716083200).

404914356 is an abundant number, since it is smaller than the sum of its proper divisors (1027252044).

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

404914356 is a wasteful number, since it uses less digits than its factorization.

404914356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 404914356 is about 20122.4838427069. The cubic root of 404914356 is about 739.8114664579.

The spelling of 404914356 in words is "four hundred four million, nine hundred fourteen thousand, three hundred fifty-six".