405352020 has 96 divisors (see below), whose sum is σ = 1174094208. Its totient is φ = 104412672.

The previous prime is 405352009. The next prime is 405352037. The reversal of 405352020 is 20253504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347959 + ... + 349121.

It is an arithmetic number, because the mean of its divisors is an integer number (12230148).

Almost surely, 2^405352020 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 405352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587047104).

405352020 is an abundant number, since it is smaller than the sum of its proper divisors (768742188).

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

405352020 is a wasteful number, since it uses less digits than its factorization.

405352020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 405352020 is about 20133.3559050646. The cubic root of 405352020 is about 740.0779197229.

The spelling of 405352020 in words is "four hundred five million, three hundred fifty-two thousand, twenty".