1405867648 has 64 divisors (see below), whose sum is σ = 2843596800. Its totient is φ = 692278272.

The previous prime is 1405867637. The next prime is 1405867679. The reversal of 1405867648 is 8467685041.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3202213 + ... + 3202651.

It is an arithmetic number, because the mean of its divisors is an integer number (44431200).

Almost surely, 2^1405867648 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 1405867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421798400).

1405867648 is an abundant number, since it is smaller than the sum of its proper divisors (1437729152).

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

1405867648 is a wasteful number, since it uses less digits than its factorization.

1405867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 1405867648 is about 37494.9016267545. The cubic root of 1405867648 is about 1120.2496382312.

The spelling of 1405867648 in words is "one billion, four hundred five million, eight hundred sixty-seven thousand, six hundred forty-eight".