212504760 has 192 divisors, whose sum is σ = 787812480. Its totient is φ = 49213440.

The previous prime is 212504741. The next prime is 212504791. The reversal of 212504760 is 67405212.

212504760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 78225 + ... + 80895.

It is an arithmetic number, because the mean of its divisors is an integer number (4103190).

Almost surely, 2^212504760 is an apocalyptic number.

212504760 is a gapful number since it is divisible by the number (20) 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 212504760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393906240).

212504760 is an abundant number, since it is smaller than the sum of its proper divisors (575307720).

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

212504760 is a wasteful number, since it uses less digits than its factorization.

212504760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 212504760 is about 14577.5430028520. The cubic root of 212504760 is about 596.7460516010.

Adding to 212504760 its reverse (67405212), we get a palindrome (279909972).

The spelling of 212504760 in words is "two hundred twelve million, five hundred four thousand, seven hundred sixty".