1396224000 has 416 divisors, whose sum is σ = 5213407680. Its totient is φ = 368640000.

The previous prime is 1396223929. The next prime is 1396224001. The reversal of 1396224000 is 4226931.

1396224000 is a `hidden beast` number, since 1 + 39 + 622 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1396224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823950 + ... + 13824050.

It is an arithmetic number, because the mean of its divisors is an integer number (12532230).

Almost surely, 2^1396224000 is an apocalyptic number.

1396224000 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 1396224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606703840).

1396224000 is an abundant number, since it is smaller than the sum of its proper divisors (3817183680).

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

1396224000 is an equidigital number, since it uses as much as digits as its factorization.

1396224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1396224000 is about 37366.0808755748. The cubic root of 1396224000 is about 1117.6822818729.

The spelling of 1396224000 in words is "one billion, three hundred ninety-six million, two hundred twenty-four thousand".