1390945920 has 512 divisors, whose sum is σ = 5757696000. Its totient is φ = 277364736.

The previous prime is 1390945909. The next prime is 1390945943. The reversal of 1390945920 is 295490931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319471 + ... + 3319889.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2^1390945920 is an apocalyptic number.

1390945920 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 1390945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848000).

1390945920 is an abundant number, since it is smaller than the sum of its proper divisors (4366750080).

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

1390945920 is a wasteful number, since it uses less digits than its factorization.

1390945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1390945920 is about 37295.3873823560. The cubic root of 1390945920 is about 1116.2721295240.

The spelling of 1390945920 in words is "one billion, three hundred ninety million, nine hundred forty-five thousand, nine hundred twenty".