1397878560 has 240 divisors, whose sum is σ = 5313474936. Its totient is φ = 344051712.

The previous prime is 1397878519. The next prime is 1397878577. The reversal of 1397878560 is 658787931.

1397878560 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 8 + 78 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1267644816 + 130233744 = 35604^2 + 11412^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1397878497 and 1397878506.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164332 + ... + 172628.

Almost surely, 2^1397878560 is an apocalyptic number.

1397878560 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 1397878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656737468).

1397878560 is an abundant number, since it is smaller than the sum of its proper divisors (3915596376).

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

1397878560 is a wasteful number, since it uses less digits than its factorization.

1397878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1397878560 is about 37388.2141857565. The cubic root of 1397878560 is about 1118.1236013171.

The spelling of 1397878560 in words is "one billion, three hundred ninety-seven million, eight hundred seventy-eight thousand, five hundred sixty".