1496405664 has 288 divisors, whose sum is σ = 4831130304. Its totient is φ = 452874240.

The previous prime is 1496405609. The next prime is 1496405707. The reversal of 1496405664 is 4665046941.

It is a happy number.

1496405664 is a `hidden beast` number, since 1 + 49 + 6 + 40 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1496405664² = 4478459822502561792, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11422879 + ... + 11423009.

It is an arithmetic number, because the mean of its divisors is an integer number (16774758).

Almost surely, 2^1496405664 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 1496405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415565152).

1496405664 is an abundant number, since it is smaller than the sum of its proper divisors (3334724640).

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

1496405664 is a wasteful number, since it uses less digits than its factorization.

1496405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

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

The square root of 1496405664 is about 38683.4029526876. The cubic root of 1496405664 is about 1143.7991806855.

The spelling of 1496405664 in words is "one billion, four hundred ninety-six million, four hundred five thousand, six hundred sixty-four".