1625386464 has 288 divisors, whose sum is σ = 5328479520. Its totient is φ = 465813504.

The previous prime is 1625386447. The next prime is 1625386481. The reversal of 1625386464 is 4646835261.

1625386464 is a `hidden beast` number, since 1 + 62 + 53 + 86 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (1625386447) and next prime (1625386481).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5192772 + ... + 5193084.

It is an arithmetic number, because the mean of its divisors is an integer number (18501665).

Almost surely, 2^1625386464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1625386464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664239760).

1625386464 is an abundant number, since it is smaller than the sum of its proper divisors (3703093056).

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

1625386464 is a wasteful number, since it uses less digits than its factorization.

1625386464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1625386464 is about 40316.0819524914. The cubic root of 1625386464 is about 1175.7605371097.

The spelling of 1625386464 in words is "one billion, six hundred twenty-five million, three hundred eighty-six thousand, four hundred sixty-four".