387409100 has 72 divisors (see below), whose sum is σ = 909941760. Its totient is φ = 142318080.

The previous prime is 387409097. The next prime is 387409103. The reversal of 387409100 is 1904783.

It is an interprime number because it is at equal distance from previous prime (387409097) and next prime (387409103).

It is not an unprimeable number, because it can be changed into a prime (387409103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302261 + ... + 303539.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2^387409100 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 387409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

387409100 is an abundant number, since it is smaller than the sum of its proper divisors (522532660).

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

387409100 is a wasteful number, since it uses less digits than its factorization.

387409100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 387409100 is about 19682.7106873012. The cubic root of 387409100 is about 728.9928564591.

The spelling of 387409100 in words is "three hundred eighty-seven million, four hundred nine thousand, one hundred".