405299856 has 120 divisors (see below), whose sum is σ = 1200860640. Its totient is φ = 117331968.

The previous prime is 405299821. The next prime is 405299861. The reversal of 405299856 is 658992504.

It is a super-3 number, since 3×405299856³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136435 + ... + 139373.

It is an arithmetic number, because the mean of its divisors is an integer number (10007172).

Almost surely, 2^405299856 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 405299856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600430320).

405299856 is an abundant number, since it is smaller than the sum of its proper divisors (795560784).

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

405299856 is a wasteful number, since it uses less digits than its factorization.

405299856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 405299856 is about 20132.0604012605. The cubic root of 405299856 is about 740.0461719425.

The spelling of 405299856 in words is "four hundred five million, two hundred ninety-nine thousand, eight hundred fifty-six".