712485600 has 144 divisors (see below), whose sum is σ = 2329100928. Its totient is φ = 189181440.

The previous prime is 712485563. The next prime is 712485607. The reversal of 712485600 is 6584217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712485607) 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, 736317 + ... + 737283.

It is an arithmetic number, because the mean of its divisors is an integer number (16174312).

Almost surely, 2^712485600 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 712485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164550464).

712485600 is an abundant number, since it is smaller than the sum of its proper divisors (1616615328).

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

712485600 is a wasteful number, since it uses less digits than its factorization.

712485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 712485600 is about 26692.4258920016. The cubic root of 712485600 is about 893.1519767491.

The spelling of 712485600 in words is "seven hundred twelve million, four hundred eighty-five thousand, six hundred".