387440480 has 96 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 128540160.

The previous prime is 387440461. The next prime is 387440503. The reversal of 387440480 is 84044783.

It is a super-2 number, since 2×387440480² = 300220251085260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29141 + ... + 40299.

It is an arithmetic number, because the mean of its divisors is an integer number (11249280).

Almost surely, 2^387440480 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 387440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

387440480 is an abundant number, since it is smaller than the sum of its proper divisors (692490400).

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

387440480 is a wasteful number, since it uses less digits than its factorization.

387440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 387440480 is about 19683.5078174598. The cubic root of 387440480 is about 729.0125386488.

The spelling of 387440480 in words is "three hundred eighty-seven million, four hundred forty thousand, four hundred eighty".