387205920 has 288 divisors, whose sum is σ = 1433158272. Its totient is φ = 98537472.

The previous prime is 387205901. The next prime is 387205933. The reversal of 387205920 is 29502783.

387205920 = T₄₇₉ + T₄₈₀ + ... + T₁₃₄₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894024 + ... + 894456.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^387205920 is an apocalyptic number.

387205920 is a gapful number since it is divisible by the number (30) 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 387205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

387205920 is an abundant number, since it is smaller than the sum of its proper divisors (1045952352).

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

387205920 is a wasteful number, since it uses less digits than its factorization.

387205920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 387205920 is about 19677.5486278144. The cubic root of 387205920 is about 728.8653920037.

The spelling of 387205920 in words is "three hundred eighty-seven million, two hundred five thousand, nine hundred twenty".