1408372956 has 72 divisors (see below), whose sum is σ = 3775406544. Its totient is φ = 441146880.

The previous prime is 1408372913. The next prime is 1408372963. The reversal of 1408372956 is 6592738041.

1408372956 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1408372956 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501051 + ... + 503853.

It is an arithmetic number, because the mean of its divisors is an integer number (52436202).

It is a 1-persistent number, because it is pandigital, but 2⋅1408372956 = 2816745912 is not.

Almost surely, 2^1408372956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408372956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887703272).

1408372956 is an abundant number, since it is smaller than the sum of its proper divisors (2367033588).

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

1408372956 is a wasteful number, since it uses less digits than its factorization.

1408372956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1408372956 is about 37528.2954049341. The cubic root of 1408372956 is about 1120.9146853988.

The spelling of 1408372956 in words is "one billion, four hundred eight million, three hundred seventy-two thousand, nine hundred fifty-six".