386421440 has 56 divisors (see below), whose sum is σ = 931316400. Its totient is φ = 152695808.

The previous prime is 386421439. The next prime is 386421443. The reversal of 386421440 is 44124683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 386421397 and 386421406.

It is not an unprimeable number, because it can be changed into a prime (386421443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19286 + ... + 33834.

It is an arithmetic number, because the mean of its divisors is an integer number (16630650).

Almost surely, 2^386421440 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 386421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465658200).

386421440 is an abundant number, since it is smaller than the sum of its proper divisors (544894960).

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

386421440 is a wasteful number, since it uses less digits than its factorization.

386421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14649 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 386421440 is about 19657.6051440657. The cubic root of 386421440 is about 728.3728316105.

The spelling of 386421440 in words is "three hundred eighty-six million, four hundred twenty-one thousand, four hundred forty".