388485456 has 80 divisors (see below), whose sum is σ = 1069645824. Its totient is φ = 121213312.

The previous prime is 388485439. The next prime is 388485467. The reversal of 388485456 is 654584883.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 388485399 and 388485408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48145 + ... + 55631.

Almost surely, 2^388485456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388485456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534822912).

388485456 is an abundant number, since it is smaller than the sum of its proper divisors (681160368).

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

388485456 is a wasteful number, since it uses less digits than its factorization.

388485456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7562 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The square root of 388485456 is about 19710.0343987523. The cubic root of 388485456 is about 729.6673633074.

The spelling of 388485456 in words is "three hundred eighty-eight million, four hundred eighty-five thousand, four hundred fifty-six".