386270464 has 108 divisors (see below), whose sum is σ = 858430944. Its totient is φ = 173105152.

The previous prime is 386270407. The next prime is 386270473. The reversal of 386270464 is 464072683.

It is a happy number.

It is a super-3 number, since 3×386270464³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701519 + ... + 1701745.

Almost surely, 2^386270464 is an apocalyptic number.

386270464 is a gapful number since it is divisible by the number (34) 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 386270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429215472).

386270464 is an abundant number, since it is smaller than the sum of its proper divisors (472160480).

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

386270464 is a wasteful number, since it uses less digits than its factorization.

386270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 386270464 is about 19653.7646266561. The cubic root of 386270464 is about 728.2779601137.

The spelling of 386270464 in words is "three hundred eighty-six million, two hundred seventy thousand, four hundred sixty-four".