1406146224 has 160 divisors (see below), whose sum is σ = 4488839680. Its totient is φ = 370262016.

The previous prime is 1406146213. The next prime is 1406146237. The reversal of 1406146224 is 4226416041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1406146191 and 1406146200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233232 + ... + 239184.

It is an arithmetic number, because the mean of its divisors is an integer number (28055248).

Almost surely, 2^1406146224 is an apocalyptic number.

1406146224 is a gapful number since it is divisible by the number (14) 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 1406146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244419840).

1406146224 is an abundant number, since it is smaller than the sum of its proper divisors (3082693456).

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

1406146224 is a wasteful number, since it uses less digits than its factorization.

1406146224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1406146224 is about 37498.6162944715. The cubic root of 1406146224 is about 1120.3236267164.

The spelling of 1406146224 in words is "one billion, four hundred six million, one hundred forty-six thousand, two hundred twenty-four".