388486560 has 384 divisors, whose sum is σ = 1595510784. Its totient is φ = 77045760.

The previous prime is 388486547. The next prime is 388486577. The reversal of 388486560 is 65684883.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849852 + ... + 850308.

It is an arithmetic number, because the mean of its divisors is an integer number (4154976).

Almost surely, 2^388486560 is an apocalyptic number.

388486560 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 388486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797755392).

388486560 is an abundant number, since it is smaller than the sum of its proper divisors (1207024224).

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

388486560 is a wasteful number, since it uses less digits than its factorization.

388486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 388486560 is about 19710.0624047718. The cubic root of 388486560 is about 729.6680544976.

The spelling of 388486560 in words is "three hundred eighty-eight million, four hundred eighty-six thousand, five hundred sixty".