1496348672 has 288 divisors, whose sum is σ = 3973656960. Its totient is φ = 557383680.

The previous prime is 1496348663. The next prime is 1496348681. The reversal of 1496348672 is 2768436941.

It is an interprime number because it is at equal distance from previous prime (1496348663) and next prime (1496348681).

It is a self number, because there is not a number n which added to its sum of digits gives 1496348672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40441838 + ... + 40441874.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^1496348672 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 1496348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986828480).

1496348672 is an abundant number, since it is smaller than the sum of its proper divisors (2477308288).

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

1496348672 is a wasteful number, since it uses less digits than its factorization.

1496348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 1496348672 is about 38682.6662990027. Note that the first 3 decimals coincide. The cubic root of 1496348672 is about 1143.7846596164.

The spelling of 1496348672 in words is "one billion, four hundred ninety-six million, three hundred forty-eight thousand, six hundred seventy-two".