405678336 has 144 divisors (see below), whose sum is σ = 1255833600. Its totient is φ = 113854464.

The previous prime is 405678331. The next prime is 405678337. The reversal of 405678336 is 633876504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (405678331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316545 + ... + 317823.

Almost surely, 2^405678336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

405678336 is an abundant number, since it is smaller than the sum of its proper divisors (850155264).

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

405678336 is a wasteful number, since it uses less digits than its factorization.

405678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 405678336 is about 20141.4581398666. The cubic root of 405678336 is about 740.2764586715.

The spelling of 405678336 in words is "four hundred five million, six hundred seventy-eight thousand, three hundred thirty-six".