380413540 has 48 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 139916160.

The previous prime is 380413499. The next prime is 380413549. The reversal of 380413540 is 45314083.

It is a super-2 number, since 2×380413540² = 289428922830663200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380413499 and 380413508.

It is not an unprimeable number, because it can be changed into a prime (380413549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67761 + ... + 73159.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^380413540 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 380413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827200).

380413540 is an abundant number, since it is smaller than the sum of its proper divisors (483240860).

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

380413540 is a wasteful number, since it uses less digits than its factorization.

380413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 380413540 is about 19504.1928825573. The cubic root of 380413540 is about 724.5782977653.

The spelling of 380413540 in words is "three hundred eighty million, four hundred thirteen thousand, five hundred forty".