405793872 has 120 divisors (see below), whose sum is σ = 1245211968. Its totient is φ = 122342400.

The previous prime is 405793847. The next prime is 405793873. The reversal of 405793872 is 278397504.

405793872 is a `hidden beast` number, since 4 + 0 + 579 + 3 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405793873) 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, 381213 + ... + 382275.

Almost surely, 2^405793872 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 405793872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622605984).

405793872 is an abundant number, since it is smaller than the sum of its proper divisors (839418096).

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

405793872 is a wasteful number, since it uses less digits than its factorization.

405793872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 405793872 is about 20144.3260497838. The cubic root of 405793872 is about 740.3467281890.

The spelling of 405793872 in words is "four hundred five million, seven hundred ninety-three thousand, eight hundred seventy-two".