405353532 has 48 divisors (see below), whose sum is σ = 984241440. Its totient is φ = 129685248.

The previous prime is 405353497. The next prime is 405353563. The reversal of 405353532 is 235353504.

It is a super-2 number, since 2×405353532² = 328622971809750048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405353532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56838 + ... + 63570.

It is an arithmetic number, because the mean of its divisors is an integer number (20505030).

Almost surely, 2^405353532 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 405353532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492120720).

405353532 is an abundant number, since it is smaller than the sum of its proper divisors (578887908).

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

405353532 is a wasteful number, since it uses less digits than its factorization.

405353532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 405353532 is about 20133.3934546564. The cubic root of 405353532 is about 740.0788399078.

The spelling of 405353532 in words is "four hundred five million, three hundred fifty-three thousand, five hundred thirty-two".