1396310400 has 240 divisors, whose sum is σ = 5153648940. Its totient is φ = 372280320.

The previous prime is 1396310393. The next prime is 1396310407. The reversal of 1396310400 is 40136931.

It is an interprime number because it is at equal distance from previous prime (1396310393) and next prime (1396310407).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396310407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 256507 + ... + 261893.

Almost surely, 2^1396310400 is an apocalyptic number.

1396310400 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 1396310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576824470).

1396310400 is an abundant number, since it is smaller than the sum of its proper divisors (3757338540).

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

1396310400 is an equidigital number, since it uses as much as digits as its factorization.

1396310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1396310400 is about 37367.2369864297. The cubic root of 1396310400 is about 1117.7053358999.

The spelling of 1396310400 in words is "one billion, three hundred ninety-six million, three hundred ten thousand, four hundred".