405455220 has 84 divisors (see below), whose sum is σ = 1276645860. Its totient is φ = 108117504.

The previous prime is 405455179. The next prime is 405455233. The reversal of 405455220 is 22554504.

405455220 is a `hidden beast` number, since 40 + 54 + 552 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 188128656 = 14742^2 + 13716^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 676 + ... + 28484.

It is an arithmetic number, because the mean of its divisors is an integer number (15198165).

Almost surely, 2^405455220 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 405455220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638322930).

405455220 is an abundant number, since it is smaller than the sum of its proper divisors (871190640).

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

405455220 is a wasteful number, since it uses less digits than its factorization.

405455220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 405455220 is about 20135.9186529942. The cubic root of 405455220 is about 740.1407207427.

It can be divided in two parts, 405 and 455220, that added together give a square (455625 = 675²).

The spelling of 405455220 in words is "four hundred five million, four hundred fifty-five thousand, two hundred twenty".