1397329920 has 624 divisors, whose sum is σ = 5991880320. Its totient is φ = 302579712.

The previous prime is 1397329907. The next prime is 1397329933. The reversal of 1397329920 is 299237931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1397329907) and next prime (1397329933).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73543671 + ... + 73543689.

Almost surely, 2^1397329920 is an apocalyptic number.

1397329920 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 1397329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995940160).

1397329920 is an abundant number, since it is smaller than the sum of its proper divisors (4594550400).

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

1397329920 is an equidigital number, since it uses as much as digits as its factorization.

1397329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1397329920 is about 37380.8763942206. The cubic root of 1397329920 is about 1117.9773016258.

The spelling of 1397329920 in words is "one billion, three hundred ninety-seven million, three hundred twenty-nine thousand, nine hundred twenty".