1405639872 has 336 divisors, whose sum is σ = 5180807520. Its totient is φ = 370427904.

The previous prime is 1405639843. The next prime is 1405639877. The reversal of 1405639872 is 2789365041.

1405639872 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 639 + 8 + 7 + 2 = 666.

1405639872 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

1405639872 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1405639877) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1100098 + ... + 1101374.

It is an arithmetic number, because the mean of its divisors is an integer number (15419070).

It is a 1-persistent number, because it is pandigital, but 2⋅1405639872 = 2811279744 is not.

Almost surely, 2^1405639872 is an apocalyptic number.

1405639872 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 1405639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590403760).

1405639872 is an abundant number, since it is smaller than the sum of its proper divisors (3775167648).

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

1405639872 is a wasteful number, since it uses less digits than its factorization.

1405639872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1302 counting only the distinct ones).

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

The square root of 1405639872 is about 37491.8640774235. The cubic root of 1405639872 is about 1120.1891347256.

The spelling of 1405639872 in words is "one billion, four hundred five million, six hundred thirty-nine thousand, eight hundred seventy-two".