380405844 has 144 divisors (see below), whose sum is σ = 1192871680. Its totient is φ = 99532800.

The previous prime is 380405807. The next prime is 380405891. The reversal of 380405844 is 448504083.

380405844 is a `hidden beast` number, since 38 + 0 + 40 + 584 + 4 = 666.

It is a super-2 number, since 2×380405844² = 289417212298704672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380405799 and 380405808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494292 + ... + 495060.

Almost surely, 2^380405844 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 380405844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596435840).

380405844 is an abundant number, since it is smaller than the sum of its proper divisors (812465836).

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

380405844 is a wasteful number, since it uses less digits than its factorization.

380405844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 380405844 is about 19503.9955906476. The cubic root of 380405844 is about 724.5734115108.

The spelling of 380405844 in words is "three hundred eighty million, four hundred five thousand, eight hundred forty-four".