1625708448 has 768 divisors, whose sum is σ = 6502809600. Its totient is φ = 383201280.

The previous prime is 1625708437. The next prime is 1625708503. The reversal of 1625708448 is 8448075261.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52442193 + ... + 52442223.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2^1625708448 is an apocalyptic number.

1625708448 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 1625708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

1625708448 is an abundant number, since it is smaller than the sum of its proper divisors (4877101152).

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

1625708448 is a wasteful number, since it uses less digits than its factorization.

1625708448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1625708448 is about 40320.0749999302. The cubic root of 1625708448 is about 1175.8381701514.

The spelling of 1625708448 in words is "one billion, six hundred twenty-five million, seven hundred eight thousand, four hundred forty-eight".