1397049120 has 360 divisors, whose sum is σ = 5251545684. Its totient is φ = 349691904.

The previous prime is 1397049097. The next prime is 1397049151. The reversal of 1397049120 is 219407931.

It can be written as a sum of positive squares in 6 ways, for example, as 1028869776 + 368179344 = 32076^2 + 19188^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745254 + ... + 3745626.

Almost surely, 2^1397049120 is an apocalyptic number.

1397049120 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 1397049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625772842).

1397049120 is an abundant number, since it is smaller than the sum of its proper divisors (3854496564).

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

1397049120 is a wasteful number, since it uses less digits than its factorization.

1397049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1397049120 is about 37377.1202743068. The cubic root of 1397049120 is about 1117.9024090151.

The spelling of 1397049120 in words is "one billion, three hundred ninety-seven million, forty-nine thousand, one hundred twenty".