384487257408 has 112 divisors (see below), whose sum is σ = 1030049654400. Its totient is φ = 126564788224.

The previous prime is 384487257361. The next prime is 384487257409. The reversal of 384487257408 is 804752784483.

It is a happy number.

It is a super-2 number, since 2×384487257408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384487257409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4910341 + ... + 4988027.

Almost surely, 2^384487257408 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 384487257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515024827200).

384487257408 is an abundant number, since it is smaller than the sum of its proper divisors (645562396992).

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

384487257408 is a wasteful number, since it uses less digits than its factorization.

384487257408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78024 (or 78014 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 60.

The spelling of 384487257408 in words is "three hundred eighty-four billion, four hundred eighty-seven million, two hundred fifty-seven thousand, four hundred eight".