405853728 has 48 divisors (see below), whose sum is σ = 1217563200. Its totient is φ = 115958016.

The previous prime is 405853727. The next prime is 405853739. The reversal of 405853728 is 827358504.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 405853728.

It is not an unprimeable number, because it can be changed into a prime (405853727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301303 + ... + 302646.

It is an arithmetic number, because the mean of its divisors is an integer number (25365900).

Almost surely, 2^405853728 is an apocalyptic number.

405853728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405853728 is an abundant number, since it is smaller than the sum of its proper divisors (811709472).

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

405853728 is a wasteful number, since it uses less digits than its factorization.

405853728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603969 (or 603961 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 405853728 is about 20145.8116738939. The cubic root of 405853728 is about 740.3831276340.

The spelling of 405853728 in words is "four hundred five million, eight hundred fifty-three thousand, seven hundred twenty-eight".