1625746304 has 192 divisors, whose sum is σ = 4115381760. Its totient is φ = 634023936.

The previous prime is 1625746303. The next prime is 1625746307. The reversal of 1625746304 is 4036475261.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1625746303) 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, 10354994 + ... + 10355150.

It is an arithmetic number, because the mean of its divisors is an integer number (21434280).

Almost surely, 2^1625746304 is an apocalyptic number.

1625746304 is a gapful number since it is divisible by the number (14) 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 1625746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057690880).

1625746304 is an abundant number, since it is smaller than the sum of its proper divisors (2489635456).

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

1625746304 is a wasteful number, since it uses less digits than its factorization.

1625746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 1625746304 is about 40320.5444407687. The cubic root of 1625746304 is about 1175.8472968769.

The spelling of 1625746304 in words is "one billion, six hundred twenty-five million, seven hundred forty-six thousand, three hundred four".