1396454400 has 792 divisors, whose sum is σ = 5939575200. Its totient is φ = 309657600.

The previous prime is 1396454393. The next prime is 1396454413. The reversal of 1396454400 is 44546931.

1396454400 is a `hidden beast` number, since 1 + 3 + 9 + 645 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48153586 + ... + 48153614.

Almost surely, 2^1396454400 is an apocalyptic number.

1396454400 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 1396454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969787600).

1396454400 is an abundant number, since it is smaller than the sum of its proper divisors (4543120800).

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

1396454400 is a wasteful number, since it uses less digits than its factorization.

1396454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1396454400 is about 37369.1637583717. The cubic root of 1396454400 is about 1117.7437571649.

The spelling of 1396454400 in words is "one billion, three hundred ninety-six million, four hundred fifty-four thousand, four hundred".