1405664496 has 160 divisors (see below), whose sum is σ = 4263536640. Its totient is φ = 442713600.

The previous prime is 1405664483. The next prime is 1405664501. The reversal of 1405664496 is 6944665041.

It is a happy number.

1405664496 is a `hidden beast` number, since 1 + 40 + 566 + 4 + 49 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574636 + ... + 577076.

It is an arithmetic number, because the mean of its divisors is an integer number (26647104).

Almost surely, 2^1405664496 is an apocalyptic number.

1405664496 is a gapful number since it is divisible by the number (16) 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 1405664496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131768320).

1405664496 is an abundant number, since it is smaller than the sum of its proper divisors (2857872144).

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

1405664496 is a wasteful number, since it uses less digits than its factorization.

1405664496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1405664496 is about 37492.1924672324. The cubic root of 1405664496 is about 1120.1956758454.

The spelling of 1405664496 in words is "one billion, four hundred five million, six hundred sixty-four thousand, four hundred ninety-six".