1382315220 has 576 divisors, whose sum is σ = 5445377280. Its totient is φ = 291133440.

The previous prime is 1382315201. The next prime is 1382315239. The reversal of 1382315220 is 225132831.

1382315220 is a `hidden beast` number, since 138 + 2 + 3 + 1 + 522 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1382315201) and next prime (1382315239).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81312652 + ... + 81312668.

It is an arithmetic number, because the mean of its divisors is an integer number (9453780).

Almost surely, 2^1382315220 is an apocalyptic number.

1382315220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 37179×37180.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722688640).

1382315220 is an abundant number, since it is smaller than the sum of its proper divisors (4063062060).

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

1382315220 is a wasteful number, since it uses less digits than its factorization.

1382315220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1382315220 is about 37179.4999966379. The cubic root of 1382315220 is about 1113.9585468063.

The spelling of 1382315220 in words is "one billion, three hundred eighty-two million, three hundred fifteen thousand, two hundred twenty".