405213952 has 72 divisors (see below), whose sum is σ = 950337360. Its totient is φ = 170004480.

The previous prime is 405213943. The next prime is 405213959. The reversal of 405213952 is 259312504.

It is not an unprimeable number, because it can be changed into a prime (405213959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31074 + ... + 42142.

It is an arithmetic number, because the mean of its divisors is an integer number (13199130).

Almost surely, 2^405213952 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 405213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475168680).

405213952 is an abundant number, since it is smaller than the sum of its proper divisors (545123408).

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

405213952 is a wasteful number, since it uses less digits than its factorization.

405213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 405213952 is about 20129.9267758231. The cubic root of 405213952 is about 739.9938835628.

The spelling of 405213952 in words is "four hundred five million, two hundred thirteen thousand, nine hundred fifty-two".