405852768 has 288 divisors, whose sum is σ = 1309875840. Its totient is φ = 123171840.

The previous prime is 405852763. The next prime is 405852793. The reversal of 405852768 is 867258504.

405852768 is a `hidden beast` number, since 4 + 0 + 585 + 2 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405852761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6057471 + ... + 6057537.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2^405852768 is an apocalyptic number.

405852768 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 405852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654937920).

405852768 is an abundant number, since it is smaller than the sum of its proper divisors (904023072).

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

405852768 is a wasteful number, since it uses less digits than its factorization.

405852768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 405852768 is about 20145.7878475874. The cubic root of 405852768 is about 740.3825438700.

The spelling of 405852768 in words is "four hundred five million, eight hundred fifty-two thousand, seven hundred sixty-eight".