212793504 has 144 divisors (see below), whose sum is σ = 701959104. Its totient is φ = 55249920.

The previous prime is 212793499. The next prime is 212793509. The reversal of 212793504 is 405397212.

212793504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212793499) and next prime (212793509).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (212793509) 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, 80004 + ... + 82620.

It is an arithmetic number, because the mean of its divisors is an integer number (4874716).

Almost surely, 2^212793504 is an apocalyptic number.

212793504 is a gapful number since it is divisible by the number (24) 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 212793504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350979552).

212793504 is an abundant number, since it is smaller than the sum of its proper divisors (489165600).

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

212793504 is a wasteful number, since it uses less digits than its factorization.

212793504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 212793504 is about 14587.4433674993. The cubic root of 212793504 is about 597.0162084660.

The spelling of 212793504 in words is "two hundred twelve million, seven hundred ninety-three thousand, five hundred four".