387937440 has 288 divisors, whose sum is σ = 1521374400. Its totient is φ = 89026560.

The previous prime is 387937439. The next prime is 387937447. The reversal of 387937440 is 44739783.

It is a happy number.

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

It is a super-3 number, since 3×387937440³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (387937447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300316 + ... + 301604.

It is an arithmetic number, because the mean of its divisors is an integer number (5282550).

Almost surely, 2^387937440 is an apocalyptic number.

387937440 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 387937440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760687200).

387937440 is an abundant number, since it is smaller than the sum of its proper divisors (1133436960).

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

387937440 is a wasteful number, since it uses less digits than its factorization.

387937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 387937440 is about 19696.1275381736. The cubic root of 387937440 is about 729.3241007253.

The spelling of 387937440 in words is "three hundred eighty-seven million, nine hundred thirty-seven thousand, four hundred forty".