1408967952 has 240 divisors, whose sum is σ = 4571582400. Its totient is φ = 371589120.

The previous prime is 1408967947. The next prime is 1408967969. The reversal of 1408967952 is 2597698041.

It is a junction number, because it is equal to n+sod(n) for n = 1408967895 and 1408967904.

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, 1831824 + ... + 1832592.

It is an arithmetic number, because the mean of its divisors is an integer number (19048260).

Almost surely, 2^1408967952 is an apocalyptic number.

1408967952 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 1408967952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285791200).

1408967952 is an abundant number, since it is smaller than the sum of its proper divisors (3162614448).

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

1408967952 is a wasteful number, since it uses less digits than its factorization.

1408967952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 1408967952 is about 37536.2218663520. The cubic root of 1408967952 is about 1121.0725142969.

The spelling of 1408967952 in words is "one billion, four hundred eight million, nine hundred sixty-seven thousand, nine hundred fifty-two".