387412992 has 132 divisors (see below), whose sum is σ = 1130861056. Its totient is φ = 127733760.

The previous prime is 387412979. The next prime is 387412997. The reversal of 387412992 is 299214783.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387412997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170267 + ... + 1170597.

Almost surely, 2^387412992 is an apocalyptic number.

387412992 is a gapful number since it is divisible by the number (32) 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 387412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565430528).

387412992 is an abundant number, since it is smaller than the sum of its proper divisors (743448064).

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

387412992 is a wasteful number, since it uses less digits than its factorization.

387412992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 387412992 is about 19682.8095555487. The cubic root of 387412992 is about 728.9952976603.

The spelling of 387412992 in words is "three hundred eighty-seven million, four hundred twelve thousand, nine hundred ninety-two".