380436240 has 120 divisors (see below), whose sum is σ = 1244973888. Its totient is φ = 96088320.

The previous prime is 380436233. The next prime is 380436241. The reversal of 380436240 is 42634083.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 380436198 and 380436207.

It is not an unprimeable number, because it can be changed into a prime (380436241) 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, 84445 + ... + 88835.

Almost surely, 2^380436240 is an apocalyptic number.

380436240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622486944).

380436240 is an abundant number, since it is smaller than the sum of its proper divisors (864537648).

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

380436240 is a wasteful number, since it uses less digits than its factorization.

380436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 380436240 is about 19504.7748000329. The cubic root of 380436240 is about 724.5927098007.

The spelling of 380436240 in words is "three hundred eighty million, four hundred thirty-six thousand, two hundred forty".