481625600 has 120 divisors (see below), whose sum is σ = 1205601408. Its totient is φ = 190668800.

The previous prime is 481625597. The next prime is 481625609. The reversal of 481625600 is 6526184.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481625609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2444702 + ... + 2444898.

Almost surely, 2^481625600 is an apocalyptic number.

481625600 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 481625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602800704).

481625600 is an abundant number, since it is smaller than the sum of its proper divisors (723975808).

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

481625600 is a wasteful number, since it uses less digits than its factorization.

481625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 481625600 is about 21945.9700172947. The cubic root of 481625600 is about 783.8564224095.

The spelling of 481625600 in words is "four hundred eighty-one million, six hundred twenty-five thousand, six hundred".