1388384480 has 96 divisors (see below), whose sum is σ = 3758166720. Its totient is φ = 474808320.

The previous prime is 1388384479. The next prime is 1388384513. The reversal of 1388384480 is 844838831.

It is a super-2 number, since 2×1388384480² = 3855222928609740800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514976 + ... + 517664.

It is an arithmetic number, because the mean of its divisors is an integer number (39147570).

Almost surely, 2^1388384480 is an apocalyptic number.

1388384480 is a gapful number since it is divisible by the number (10) 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 1388384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879083360).

1388384480 is an abundant number, since it is smaller than the sum of its proper divisors (2369782240).

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

1388384480 is a wasteful number, since it uses less digits than its factorization.

1388384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 1388384480 is about 37261.0316550683. The cubic root of 1388384480 is about 1115.5864999438.

The spelling of 1388384480 in words is "one billion, three hundred eighty-eight million, three hundred eighty-four thousand, four hundred eighty".