405958872 has 96 divisors (see below), whose sum is σ = 1141842240. Its totient is φ = 120120000.

The previous prime is 405958831. The next prime is 405958873. The reversal of 405958872 is 278859504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405958873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123247 + ... + 126497.

It is an arithmetic number, because the mean of its divisors is an integer number (11894190).

Almost surely, 2^405958872 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 405958872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570921120).

405958872 is an abundant number, since it is smaller than the sum of its proper divisors (735883368).

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

405958872 is a wasteful number, since it uses less digits than its factorization.

405958872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 405958872 is about 20148.4210795784. The cubic root of 405958872 is about 740.4470588130.

The spelling of 405958872 in words is "four hundred five million, nine hundred fifty-eight thousand, eight hundred seventy-two".