1390544100 has 243 divisors, whose sum is σ = 4833611419. Its totient is φ = 334118400.

The previous prime is 1390544081. The next prime is 1390544107. The reversal of 1390544100 is 14450931.

The square root of 1390544100 is 37290.

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

1390544100 is a `hidden beast` number, since 13 + 9 + 0 + 544 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 707453604 + 683090496 = 26598^2 + 26136^2 .

It is a super-2 number, since 2×1390544100² = 3867225788089620000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1390544107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12305644 + ... + 12305756.

Almost surely, 2^1390544100 is an apocalyptic number.

1390544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1390544100 is the 37290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390544100

1390544100 is an abundant number, since it is smaller than the sum of its proper divisors (3443067319).

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

1390544100 is a wasteful number, since it uses less digits than its factorization.

1390544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1390544100 is about 1116.1646286597.

It can be divided in two parts, 1390 and 544100, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 1390544100 in words is "one billion, three hundred ninety million, five hundred forty-four thousand, one hundred".