380459920 has 40 divisors (see below), whose sum is σ = 885389760. Its totient is φ = 152042880.

The previous prime is 380459909. The next prime is 380459927. The reversal of 380459920 is 29954083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (380459927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149055 + ... + 151585.

It is an arithmetic number, because the mean of its divisors is an integer number (22134744).

Almost surely, 2^380459920 is an apocalyptic number.

It is an amenable number.

380459920 is an abundant number, since it is smaller than the sum of its proper divisors (504929840).

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

380459920 is a wasteful number, since it uses less digits than its factorization.

380459920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 380459920 is about 19505.3818214358. The cubic root of 380459920 is about 724.6077434188.

The spelling of 380459920 in words is "three hundred eighty million, four hundred fifty-nine thousand, nine hundred twenty".