1625904000 has 384 divisors, whose sum is σ = 6677311680. Its totient is φ = 371404800.

The previous prime is 1625903999. The next prime is 1625904013. The reversal of 1625904000 is 4095261.

1625904000 is a `hidden beast` number, since 1 + 6 + 259 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1007194 + ... + 1008806.

Almost surely, 2^1625904000 is an apocalyptic number.

1625904000 is a gapful number since it is divisible by the number (10) 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 1625904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338655840).

1625904000 is an abundant number, since it is smaller than the sum of its proper divisors (5051407680).

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

1625904000 is a wasteful number, since it uses less digits than its factorization.

1625904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1625904000 is about 40322.4999224998. The cubic root of 1625904000 is about 1175.8853143748.

Adding to 1625904000 its reverse (4095261), we get a palindrome (1629999261).

The spelling of 1625904000 in words is "one billion, six hundred twenty-five million, nine hundred four thousand".