388546560 has 360 divisors, whose sum is σ = 1472155776. Its totient is φ = 94371840.

The previous prime is 388546547. The next prime is 388546573. The reversal of 388546560 is 65645883.

388546560 is a `hidden beast` number, since 3 + 8 + 85 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (388546547) and next prime (388546573).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12533745 + ... + 12533775.

Almost surely, 2^388546560 is an apocalyptic number.

388546560 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 388546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736077888).

388546560 is an abundant number, since it is smaller than the sum of its proper divisors (1083609216).

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

388546560 is a wasteful number, since it uses less digits than its factorization.

388546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 388546560 is about 19711.5844112035. The cubic root of 388546560 is about 729.7056172124.

388546560 divided by its sum of digits (45) gives a palindrome (8634368).

The spelling of 388546560 in words is "three hundred eighty-eight million, five hundred forty-six thousand, five hundred sixty".