405541728 has 72 divisors (see below), whose sum is σ = 1195995528. Its totient is φ = 135177984.

The previous prime is 405541693. The next prime is 405541831. The reversal of 405541728 is 827145504.

405541728 is a `hidden beast` number, since 40 + 5 + 541 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 405541692 and 405541701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18301 + ... + 33852.

It is an arithmetic number, because the mean of its divisors is an integer number (16611049).

Almost surely, 2^405541728 is an apocalyptic number.

405541728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405541728 is an abundant number, since it is smaller than the sum of its proper divisors (790453800).

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

405541728 is an equidigital number, since it uses as much as digits as its factorization.

405541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52178 (or 52158 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 405541728 is about 20138.0666400725. The cubic root of 405541728 is about 740.1933558527.

The spelling of 405541728 in words is "four hundred five million, five hundred forty-one thousand, seven hundred twenty-eight".