405755532 has 144 divisors (see below), whose sum is σ = 1270493952. Its totient is φ = 106323840.

The previous prime is 405755521. The next prime is 405755533. The reversal of 405755532 is 235557504.

405755532 is a `hidden beast` number, since 4 + 0 + 575 + 55 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405755533) 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, 690943 + ... + 691529.

Almost surely, 2^405755532 is an apocalyptic number.

405755532 is a gapful number since it is divisible by the number (42) 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 405755532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635246976).

405755532 is an abundant number, since it is smaller than the sum of its proper divisors (864738420).

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

405755532 is a wasteful number, since it uses less digits than its factorization.

405755532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 405755532 is about 20143.3743945745. The cubic root of 405755532 is about 740.3234111066.

The spelling of 405755532 in words is "four hundred five million, seven hundred fifty-five thousand, five hundred thirty-two".