405442368 has 224 divisors, whose sum is σ = 1283817600. Its totient is φ = 125079552.

The previous prime is 405442363. The next prime is 405442369. The reversal of 405442368 is 863244504.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405442361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739980 + ... + 1740212.

Almost surely, 2^405442368 is an apocalyptic number.

405442368 is a gapful number since it is divisible by the number (48) 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 405442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

405442368 is an abundant number, since it is smaller than the sum of its proper divisors (878375232).

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

405442368 is a wasteful number, since it uses less digits than its factorization.

405442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 405442368 is about 20135.5995192594. The cubic root of 405442368 is about 740.1329004059.

The spelling of 405442368 in words is "four hundred five million, four hundred forty-two thousand, three hundred sixty-eight".