387523840 has 144 divisors (see below), whose sum is σ = 1072854720. Its totient is φ = 132546560.

The previous prime is 387523837. The next prime is 387523847. The reversal of 387523840 is 48325783.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 387523793 and 387523802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387523847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238551 + ... + 240169.

It is an arithmetic number, because the mean of its divisors is an integer number (7450380).

Almost surely, 2^387523840 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 387523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536427360).

387523840 is an abundant number, since it is smaller than the sum of its proper divisors (685330880).

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

387523840 is a wasteful number, since it uses less digits than its factorization.

387523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 387523840 is about 19685.6252123218. The cubic root of 387523840 is about 729.0648186165.

The spelling of 387523840 in words is "three hundred eighty-seven million, five hundred twenty-three thousand, eight hundred forty".