1390390920 has 320 divisors, whose sum is σ = 4906598400. Its totient is φ = 352719360.

The previous prime is 1390390891. The next prime is 1390390957. The reversal of 1390390920 is 290930931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10947897 + ... + 10948023.

It is an arithmetic number, because the mean of its divisors is an integer number (15333120).

Almost surely, 2^1390390920 is an apocalyptic number.

1390390920 is a gapful number since it is divisible by the number (10) 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 1390390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453299200).

1390390920 is an abundant number, since it is smaller than the sum of its proper divisors (3516207480).

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

1390390920 is a wasteful number, since it uses less digits than its factorization.

1390390920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 1390390920 is about 37287.9460415829. The cubic root of 1390390920 is about 1116.1236422151.

The spelling of 1390390920 in words is "one billion, three hundred ninety million, three hundred ninety thousand, nine hundred twenty".