380079540 has 240 divisors, whose sum is σ = 1300056912. Its totient is φ = 92565504.

The previous prime is 380079529. The next prime is 380079541. The reversal of 380079540 is 45970083.

It can be written as a sum of positive squares in 8 ways, for example, as 39012516 + 341067024 = 6246^2 + 18468^2 .

It is a super-2 number, since 2×380079540² = 288920913453223200, 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 = 380079495 and 380079504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380079541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1018794 + ... + 1019166.

Almost surely, 2^380079540 is an apocalyptic number.

380079540 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 380079540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650028456).

380079540 is an abundant number, since it is smaller than the sum of its proper divisors (919977372).

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

380079540 is a wasteful number, since it uses less digits than its factorization.

380079540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 380079540 is about 19495.6287408229. The cubic root of 380079540 is about 724.3661777188.

The spelling of 380079540 in words is "three hundred eighty million, seventy-nine thousand, five hundred forty".