388874520 has 160 divisors (see below), whose sum is σ = 1376060400. Its totient is φ = 98226432.

The previous prime is 388874513. The next prime is 388874531. The reversal of 388874520 is 25478883.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58402 + ... + 64718.

Almost surely, 2^388874520 is an apocalyptic number.

388874520 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 388874520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688030200).

388874520 is an abundant number, since it is smaller than the sum of its proper divisors (987185880).

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

388874520 is a wasteful number, since it uses less digits than its factorization.

388874520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 388874520 is about 19719.9016224727. The cubic root of 388874520 is about 729.9108667053.

The spelling of 388874520 in words is "three hundred eighty-eight million, eight hundred seventy-four thousand, five hundred twenty".