387456 has 32 divisors (see below), whose sum is σ = 1030200. Its totient is φ = 129024.

The previous prime is 387449. The next prime is 387463. The reversal of 387456 is 654783.

It is an interprime number because it is at equal distance from previous prime (387449) and next prime (387463).

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121 + ... + 888.

2³⁸⁷⁴⁵⁶ 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 387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515100).

387456 is an abundant number, since it is smaller than the sum of its proper divisors (642744).

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

387456 is a wasteful number, since it uses less digits than its factorization.

387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1014 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 387456 is about 622.4596372457. The cubic root of 387456 is about 72.9022272723.

The spelling of 387456 in words is "three hundred eighty-seven thousand, four hundred fifty-six".