380496480 has 384 divisors, whose sum is σ = 1528160256. Its totient is φ = 77414400.

The previous prime is 380496463. The next prime is 380496481. The reversal of 380496480 is 84694083.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380496481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353940 + ... + 1354220.

It is an arithmetic number, because the mean of its divisors is an integer number (3979584).

Almost surely, 2^380496480 is an apocalyptic number.

380496480 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 380496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764080128).

380496480 is an abundant number, since it is smaller than the sum of its proper divisors (1147663776).

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

380496480 is a wasteful number, since it uses less digits than its factorization.

380496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 380496480 is about 19506.3189761677. The cubic root of 380496480 is about 724.6309528811.

The spelling of 380496480 in words is "three hundred eighty million, four hundred ninety-six thousand, four hundred eighty".