1396516900 has 81 divisors (see below), whose sum is σ = 3145701657. Its totient is φ = 538128000.

The previous prime is 1396516873. The next prime is 1396516907. The reversal of 1396516900 is 96156931.

The square root of 1396516900 is 37370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 18028516 + 1378488384 = 4246^2 + 37128^2 .

It is a super-2 number, since 2×1396516900² = 3900518903971220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1396516907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13826850 + ... + 13826950.

Almost surely, 2^1396516900 is an apocalyptic number.

1396516900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1396516900 is the 37370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396516900

1396516900 is an abundant number, since it is smaller than the sum of its proper divisors (1749184757).

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

1396516900 is a wasteful number, since it uses less digits than its factorization.

1396516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The cubic root of 1396516900 is about 1117.7604322392.

The spelling of 1396516900 in words is "one billion, three hundred ninety-six million, five hundred sixteen thousand, nine hundred".