386320440 has 64 divisors (see below), whose sum is σ = 1264325760. Its totient is φ = 93653120.

The previous prime is 386320421. The next prime is 386320457. The reversal of 386320440 is 44023683.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 386320398 and 386320407.

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, 145014 + ... + 147653.

It is an arithmetic number, because the mean of its divisors is an integer number (19755090).

Almost surely, 2^386320440 is an apocalyptic number.

386320440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386320440 is an abundant number, since it is smaller than the sum of its proper divisors (878005320).

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

386320440 is a wasteful number, since it uses less digits than its factorization.

386320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292692 (or 292688 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 386320440 is about 19655.0359958968. The cubic root of 386320440 is about 728.3093671658.

It can be divided in two parts, 386320 and 440, that added together give a triangular number (386760 = T₈₇₉).

The spelling of 386320440 in words is "three hundred eighty-six million, three hundred twenty thousand, four hundred forty".