1406103930 has 384 divisors, whose sum is σ = 4906137600. Its totient is φ = 270604800.

The previous prime is 1406103929. The next prime is 1406103943. The reversal of 1406103930 is 393016041.

1406103930 is a `hidden beast` number, since 1 + 40 + 610 + 3 + 9 + 3 + 0 = 666.

It is a super-2 number, since 2×1406103930² = 3954256523922889800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406103894 and 1406103903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7768440 + ... + 7768620.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^1406103930 is an apocalyptic number.

1406103930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406103930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453068800).

1406103930 is an abundant number, since it is smaller than the sum of its proper divisors (3500033670).

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

1406103930 is a wasteful number, since it uses less digits than its factorization.

1406103930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1406103930 is about 37498.0523494221. The cubic root of 1406103930 is about 1120.3123942566.

Adding to 1406103930 its reverse (393016041), we get a palindrome (1799119971).

The spelling of 1406103930 in words is "one billion, four hundred six million, one hundred three thousand, nine hundred thirty".