1615880448 has 432 divisors, whose sum is σ = 6002492160. Its totient is φ = 425005056.

The previous prime is 1615880443. The next prime is 1615880449. The reversal of 1615880448 is 8440885161.

1615880448 is a `hidden beast` number, since 1 + 61 + 588 + 0 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1615880448² = 5222139244457361408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1615880443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402761 + ... + 4403127.

Almost surely, 2^1615880448 is an apocalyptic number.

1615880448 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 1615880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001246080).

1615880448 is an abundant number, since it is smaller than the sum of its proper divisors (4386611712).

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

1615880448 is a wasteful number, since it uses less digits than its factorization.

1615880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1615880448 is about 40198.0154734037. The cubic root of 1615880448 is about 1173.4639225634.

The spelling of 1615880448 in words is "one billion, six hundred fifteen million, eight hundred eighty thousand, four hundred forty-eight".