404350453400 has 96 divisors (see below), whose sum is σ = 954591402240. Its totient is φ = 159267730560.

The previous prime is 404350453399. The next prime is 404350453417. The reversal of 404350453400 is 4354053404.

It is a super-3 number, since 3×404350453400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3517229 + ... + 3630371.

It is an arithmetic number, because the mean of its divisors is an integer number (9943660440).

Almost surely, 2^404350453400 is an apocalyptic number.

404350453400 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 404350453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477295701120).

404350453400 is an abundant number, since it is smaller than the sum of its proper divisors (550240948840).

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

404350453400 is a wasteful number, since it uses less digits than its factorization.

404350453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113433 (or 113424 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 4043504 and 53400, that added together give a palindrome (4096904).

The spelling of 404350453400 in words is "four hundred four billion, three hundred fifty million, four hundred fifty-three thousand, four hundred".