387404600 has 96 divisors (see below), whose sum is σ = 987593040. Its totient is φ = 140160000.

The previous prime is 387404593. The next prime is 387404603. The reversal of 387404600 is 6404783.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387404603) 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, 644300 + ... + 644900.

Almost surely, 2^387404600 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 387404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493796520).

387404600 is an abundant number, since it is smaller than the sum of its proper divisors (600188440).

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

387404600 is a wasteful number, since it uses less digits than its factorization.

387404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 387404600 is about 19682.5963734463. The cubic root of 387404600 is about 728.9900338782.

The spelling of 387404600 in words is "three hundred eighty-seven million, four hundred four thousand, six hundred".