1396706400 has 216 divisors, whose sum is σ = 5215306824. Its totient is φ = 350515200.

The previous prime is 1396706387. The next prime is 1396706419. The reversal of 1396706400 is 46076931.

1396706400 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 7 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116695 + ... + 128105.

It is an arithmetic number, because the mean of its divisors is an integer number (24144939).

Almost surely, 2^1396706400 is an apocalyptic number.

1396706400 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 1396706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607653412).

1396706400 is an abundant number, since it is smaller than the sum of its proper divisors (3818600424).

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

1396706400 is a wasteful number, since it uses less digits than its factorization.

1396706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1396706400 is about 37372.5353702421. The cubic root of 1396706400 is about 1117.8109880236.

It can be divided in two parts, 139670 and 6400, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 1396706400 in words is "one billion, three hundred ninety-six million, seven hundred six thousand, four hundred".