388972080 has 240 divisors, whose sum is σ = 1515331584. Its totient is φ = 87575040.

The previous prime is 388972061. The next prime is 388972081. The reversal of 388972080 is 80279883.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (388972081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357297 + ... + 358383.

Almost surely, 2^388972080 is an apocalyptic number.

388972080 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 388972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757665792).

388972080 is an abundant number, since it is smaller than the sum of its proper divisors (1126359504).

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

388972080 is a wasteful number, since it uses less digits than its factorization.

388972080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 388972080 is about 19722.3751105185. The cubic root of 388972080 is about 729.9719010890.

The spelling of 388972080 in words is "three hundred eighty-eight million, nine hundred seventy-two thousand, eighty".