405315456 has 192 divisors, whose sum is σ = 1349545680. Its totient is φ = 106831872.

The previous prime is 405315431. The next prime is 405315457. The reversal of 405315456 is 654513504.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405315457) 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 23 ways as a sum of consecutive naturals, for example, 243780 + ... + 245436.

Almost surely, 2^405315456 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 405315456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674772840).

405315456 is an abundant number, since it is smaller than the sum of its proper divisors (944230224).

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

405315456 is a wasteful number, since it uses less digits than its factorization.

405315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 405315456 is about 20132.4478392470. The cubic root of 405315456 is about 740.0556666183.

The spelling of 405315456 in words is "four hundred five million, three hundred fifteen thousand, four hundred fifty-six".