380911440 has 320 divisors, whose sum is σ = 1475905536. Its totient is φ = 79128576.

The previous prime is 380911409. The next prime is 380911471. The reversal of 380911440 is 44119083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380911409) and next prime (380911471).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 380911398 and 380911407.

It is a congruent number.

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, 2336799 + ... + 2336961.

Almost surely, 2^380911440 is an apocalyptic number.

380911440 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 380911440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737952768).

380911440 is an abundant number, since it is smaller than the sum of its proper divisors (1094994096).

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

380911440 is a wasteful number, since it uses less digits than its factorization.

380911440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380911440 is about 19516.9526309821. The cubic root of 380911440 is about 724.8942786785.

The spelling of 380911440 in words is "three hundred eighty million, nine hundred eleven thousand, four hundred forty".