387145920 has 224 divisors, whose sum is σ = 1432608768. Its totient is φ = 86740992.

The previous prime is 387145907. The next prime is 387145921. The reversal of 387145920 is 29541783.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387145921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 355617 + ... + 356703.

Almost surely, 2^387145920 is an apocalyptic number.

387145920 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 387145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716304384).

387145920 is an abundant number, since it is smaller than the sum of its proper divisors (1045462848).

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

387145920 is a wasteful number, since it uses less digits than its factorization.

387145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 387145920 is about 19676.0239886009. The cubic root of 387145920 is about 728.8277426288.

The spelling of 387145920 in words is "three hundred eighty-seven million, one hundred forty-five thousand, nine hundred twenty".