1396414080 has 448 divisors, whose sum is σ = 5197477320. Its totient is φ = 358318080.

The previous prime is 1396414079. The next prime is 1396414109. The reversal of 1396414080 is 804146931.

1396414080 is a `hidden beast` number, since 1 + 3 + 9 + 641 + 4 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 800663616 + 595750464 = 28296^2 + 24408^2 .

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 55 ways as a sum of consecutive naturals, for example, 19128924 + ... + 19128996.

Almost surely, 2^1396414080 is an apocalyptic number.

1396414080 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 1396414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598738660).

1396414080 is an abundant number, since it is smaller than the sum of its proper divisors (3801063240).

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

1396414080 is an frugal number, since it uses more digits than its factorization.

1396414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1396414080 is about 37368.6242722421. The cubic root of 1396414080 is about 1117.7329994770.

The spelling of 1396414080 in words is "one billion, three hundred ninety-six million, four hundred fourteen thousand, eighty".