1406909952 has 480 divisors, whose sum is σ = 5075389440. Its totient is φ = 383201280.

The previous prime is 1406909939. The next prime is 1406909971. The reversal of 1406909952 is 2599096041.

It is a super-2 number, since 2×1406909952² = 3958791226073284608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406909898 and 1406909907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20998623 + ... + 20998689.

It is an arithmetic number, because the mean of its divisors is an integer number (10573728).

Almost surely, 2^1406909952 is an apocalyptic number.

1406909952 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 1406909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537694720).

1406909952 is an abundant number, since it is smaller than the sum of its proper divisors (3668479488).

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

1406909952 is an equidigital number, since it uses as much as digits as its factorization.

1406909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1406909952 is about 37508.7983278590. The cubic root of 1406909952 is about 1120.5264192019.

The spelling of 1406909952 in words is "one billion, four hundred six million, nine hundred nine thousand, nine hundred fifty-two".