1388832480 has 432 divisors, whose sum is σ = 5725203120. Its totient is φ = 317447424.

The previous prime is 1388832463. The next prime is 1388832509. The reversal of 1388832480 is 842388831.

1388832480 is a `hidden beast` number, since 13 + 88 + 83 + 2 + 480 = 666.

1388832480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198404637 + ... + 198404643.

It is an arithmetic number, because the mean of its divisors is an integer number (13252785).

Almost surely, 2^1388832480 is an apocalyptic number.

1388832480 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 1388832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862601560).

1388832480 is an abundant number, since it is smaller than the sum of its proper divisors (4336370640).

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

1388832480 is an frugal number, since it uses more digits than its factorization.

1388832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1388832480 is about 37267.0428126515. The cubic root of 1388832480 is about 1115.7064784782.

The spelling of 1388832480 in words is "one billion, three hundred eighty-eight million, eight hundred thirty-two thousand, four hundred eighty".