1625073408 has 144 divisors (see below), whose sum is σ = 5492309760. Its totient is φ = 464292864.

The previous prime is 1625073391. The next prime is 1625073427. The reversal of 1625073408 is 8043705261.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31591 + ... + 65177.

It is an arithmetic number, because the mean of its divisors is an integer number (38141040).

Almost surely, 2^1625073408 is an apocalyptic number.

1625073408 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 1625073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746154880).

1625073408 is an abundant number, since it is smaller than the sum of its proper divisors (3867236352).

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

1625073408 is an equidigital number, since it uses as much as digits as its factorization.

1625073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33619 (or 33599 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1625073408 is about 40312.1992453897. The cubic root of 1625073408 is about 1175.6850468530.

Adding to 1625073408 its reverse (8043705261), we get a palindrome (9668778669).

The spelling of 1625073408 in words is "one billion, six hundred twenty-five million, seventy-three thousand, four hundred eight".