387400806 has 80 divisors (see below), whose sum is σ = 939926064. Its totient is φ = 119042784.

The previous prime is 387400789. The next prime is 387400817. The reversal of 387400806 is 608004783.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511380 + ... + 512136.

Almost surely, 2^387400806 is an apocalyptic number.

It is a pronic number, being equal to 19682×19683.

It is a practical number, because each smaller number is the sum of distinct divisors of 387400806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469963032).

387400806 is an abundant number, since it is smaller than the sum of its proper divisors (552525258).

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

387400806 is an frugal number, since it uses more digits than its factorization.

387400806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 387400806 is about 19682.4999936492. The cubic root of 387400806 is about 728.9876541119.

The spelling of 387400806 in words is "three hundred eighty-seven million, four hundred thousand, eight hundred six".