387505456 has 80 divisors (see below), whose sum is σ = 878832640. Its totient is φ = 163918080.

The previous prime is 387505439. The next prime is 387505493. The reversal of 387505456 is 654505783.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120931 + ... + 124093.

It is an arithmetic number, because the mean of its divisors is an integer number (10985408).

Almost surely, 2^387505456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439416320).

387505456 is an abundant number, since it is smaller than the sum of its proper divisors (491327184).

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

387505456 is a wasteful number, since it uses less digits than its factorization.

387505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 387505456 is about 19685.1582670803. The cubic root of 387505456 is about 729.0532895713.

The spelling of 387505456 in words is "three hundred eighty-seven million, five hundred five thousand, four hundred fifty-six".