380470465440 has 384 divisors, whose sum is σ = 1451803046400. Its totient is φ = 93653148672.

The previous prime is 380470465433. The next prime is 380470465457. The reversal of 380470465440 is 44564074083.

380470465440 is a `hidden beast` number, since 3 + 80 + 4 + 70 + 4 + 65 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4507141 + ... + 4590779.

It is an arithmetic number, because the mean of its divisors is an integer number (3780737100).

Almost surely, 2^380470465440 is an apocalyptic number.

380470465440 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 380470465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725901523200).

380470465440 is an abundant number, since it is smaller than the sum of its proper divisors (1071332580960).

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

380470465440 is an equidigital number, since it uses as much as digits as its factorization.

380470465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83688 (or 83662 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 380470465440 in words is "three hundred eighty billion, four hundred seventy million, four hundred sixty-five thousand, four hundred forty".