1496475648 has 288 divisors, whose sum is σ = 4674458880. Its totient is φ = 477757440.

The previous prime is 1496475647. The next prime is 1496475649. The reversal of 1496475648 is 8465746941.

1496475648 is a `hidden beast` number, since 14 + 9 + 64 + 7 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1496475647) and next prime (1496475649).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1496475594 and 1496475603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1496475647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427536 + ... + 15427632.

It is an arithmetic number, because the mean of its divisors is an integer number (16230760).

Almost surely, 2^1496475648 is an apocalyptic number.

1496475648 is a gapful number since it is divisible by the number (18) 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 1496475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337229440).

1496475648 is an abundant number, since it is smaller than the sum of its proper divisors (3177983232).

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

1496475648 is an frugal number, since it uses more digits than its factorization.

1496475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1496475648 is about 38684.3075160975. The cubic root of 1496475648 is about 1143.8170114997.

The spelling of 1496475648 in words is "one billion, four hundred ninety-six million, four hundred seventy-five thousand, six hundred forty-eight".