380071440 has 560 divisors, whose sum is σ = 1626384000. Its totient is φ = 82301184.

The previous prime is 380071429. The next prime is 380071441. The reversal of 380071440 is 44170083.

380071440 = 1953² + 1954² + ... + 2047².

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (380071441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20003751 + ... + 20003769.

Almost surely, 2^380071440 is an apocalyptic number.

380071440 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 380071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813192000).

380071440 is an abundant number, since it is smaller than the sum of its proper divisors (1246312560).

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

380071440 is an equidigital number, since it uses as much as digits as its factorization.

380071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 380071440 is about 19495.4210008402. The cubic root of 380071440 is about 724.3610319470.

The spelling of 380071440 in words is "three hundred eighty million, seventy-one thousand, four hundred forty".