1406726352 has 100 divisors (see below), whose sum is σ = 4127525380. Its totient is φ = 462454272.

The previous prime is 1406726329. The next prime is 1406726383. The reversal of 1406726352 is 2536276041.

1406726352 is a `hidden beast` number, since 14 + 0 + 6 + 7 + 2 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 554319936 + 852406416 = 23544^2 + 29196^2 .

It is a super-2 number, since 2×1406726352² = 3957758058822455808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87174 + ... + 102042.

Almost surely, 2^1406726352 is an apocalyptic number.

1406726352 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 1406726352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063762690).

1406726352 is an abundant number, since it is smaller than the sum of its proper divisors (2720799028).

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

1406726352 is a wasteful number, since it uses less digits than its factorization.

1406726352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 14947 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1406726352 is about 37506.3508222274. The cubic root of 1406726352 is about 1120.4776746464.

The spelling of 1406726352 in words is "one billion, four hundred six million, seven hundred twenty-six thousand, three hundred fifty-two".