387901440 has 384 divisors, whose sum is σ = 1462406400. Its totient is φ = 97320960.

The previous prime is 387901439. The next prime is 387901447. The reversal of 387901440 is 44109783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 387901395 and 387901404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387901447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6359010 + ... + 6359070.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^387901440 is an apocalyptic number.

387901440 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 387901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

387901440 is an abundant number, since it is smaller than the sum of its proper divisors (1074504960).

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

387901440 is a wasteful number, since it uses less digits than its factorization.

387901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 387901440 is about 19695.2136317431. The cubic root of 387901440 is about 729.3015399744.

The spelling of 387901440 in words is "three hundred eighty-seven million, nine hundred one thousand, four hundred forty".