380142440 has 128 divisors (see below), whose sum is σ = 964029600. Its totient is φ = 134184960.

The previous prime is 380142401. The next prime is 380142467. The reversal of 380142440 is 44241083.

It can be written as a sum of positive squares in 16 ways, for example, as 120868036 + 259274404 = 10994^2 + 16102^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729380 + ... + 729900.

Almost surely, 2^380142440 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 380142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482014800).

380142440 is an abundant number, since it is smaller than the sum of its proper divisors (583887160).

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

380142440 is a wasteful number, since it uses less digits than its factorization.

380142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 380142440 is about 19497.2418562216. The cubic root of 380142440 is about 724.4061343723.

The spelling of 380142440 in words is "three hundred eighty million, one hundred forty-two thousand, four hundred forty".