1396436832 has 288 divisors, whose sum is σ = 4733531712. Its totient is φ = 382205952.

The previous prime is 1396436773. The next prime is 1396436837. The reversal of 1396436832 is 2386346931.

1396436832 is a `hidden beast` number, since 139 + 6 + 436 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396436837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7235328 + ... + 7235520.

It is an arithmetic number, because the mean of its divisors is an integer number (16435874).

Almost surely, 2^1396436832 is an apocalyptic number.

1396436832 is a gapful number since it is divisible by the number (12) 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 1396436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366765856).

1396436832 is an abundant number, since it is smaller than the sum of its proper divisors (3337094880).

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

1396436832 is a wasteful number, since it uses less digits than its factorization.

1396436832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 1396436832 is about 37368.9286975155. The cubic root of 1396436832 is about 1117.7390699121.

The spelling of 1396436832 in words is "one billion, three hundred ninety-six million, four hundred thirty-six thousand, eight hundred thirty-two".