4601625600 has 528 divisors, whose sum is σ = 17910103680. Its totient is φ = 1027276800.

The previous prime is 4601625577. The next prime is 4601625649. The reversal of 4601625600 is 65261064.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982191 + ... + 10982609.

Almost surely, 2^4601625600 is an apocalyptic number.

4601625600 is a gapful number since it is divisible by the number (40) 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 4601625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955051840).

4601625600 is an abundant number, since it is smaller than the sum of its proper divisors (13308478080).

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

4601625600 is a wasteful number, since it uses less digits than its factorization.

4601625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4601625600 is about 67835.2828548684. The cubic root of 4601625600 is about 1663.2993845394.

Adding to 4601625600 its reverse (65261064), we get a palindrome (4666886664).

The spelling of 4601625600 in words is "four billion, six hundred one million, six hundred twenty-five thousand, six hundred".