404845350 has 288 divisors, whose sum is σ = 1329914880. Its totient is φ = 80559360.

The previous prime is 404845339. The next prime is 404845351. The reversal of 404845350 is 53548404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404845351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1815339 + ... + 1815561.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^404845350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404845350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

404845350 is an abundant number, since it is smaller than the sum of its proper divisors (925069530).

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

404845350 is a wasteful number, since it uses less digits than its factorization.

404845350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 404845350 is about 20120.7691204884. The cubic root of 404845350 is about 739.7694375452.

The spelling of 404845350 in words is "four hundred four million, eight hundred forty-five thousand, three hundred fifty".