1405448856 has 192 divisors, whose sum is σ = 4566481920. Its totient is φ = 381807360.

The previous prime is 1405448819. The next prime is 1405448857. The reversal of 1405448856 is 6588445041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405448857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3048466 + ... + 3048926.

It is an arithmetic number, because the mean of its divisors is an integer number (23783760).

Almost surely, 2^1405448856 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 1405448856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).

1405448856 is an abundant number, since it is smaller than the sum of its proper divisors (3161033064).

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

1405448856 is a wasteful number, since it uses less digits than its factorization.

1405448856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1405448856 is about 37489.3165581876. The cubic root of 1405448856 is about 1120.1383906374.

The spelling of 1405448856 in words is "one billion, four hundred five million, four hundred forty-eight thousand, eight hundred fifty-six".