404256450 has 144 divisors (see below), whose sum is σ = 1117535616. Its totient is φ = 96595200.

The previous prime is 404256427. The next prime is 404256467. The reversal of 404256450 is 54652404.

It is a super-3 number, since 3×404256450³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 937735 + ... + 938165.

It is an arithmetic number, because the mean of its divisors is an integer number (7760664).

Almost surely, 2^404256450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404256450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558767808).

404256450 is an abundant number, since it is smaller than the sum of its proper divisors (713279166).

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

404256450 is a wasteful number, since it uses less digits than its factorization.

404256450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 404256450 is about 20106.1296623691. The cubic root of 404256450 is about 739.4105666584.

The spelling of 404256450 in words is "four hundred four million, two hundred fifty-six thousand, four hundred fifty".