212494464 has 192 divisors, whose sum is σ = 752955840. Its totient is φ = 56014848.

The previous prime is 212494463. The next prime is 212494481. The reversal of 212494464 is 464494212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212494463) 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, 103819 + ... + 105845.

It is an arithmetic number, because the mean of its divisors is an integer number (3921645).

Almost surely, 2^212494464 is an apocalyptic number.

212494464 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 212494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376477920).

212494464 is an abundant number, since it is smaller than the sum of its proper divisors (540461376).

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

212494464 is a wasteful number, since it uses less digits than its factorization.

212494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2052 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 212494464 is about 14577.1898526431. The cubic root of 212494464 is about 596.7364138615.

The spelling of 212494464 in words is "two hundred twelve million, four hundred ninety-four thousand, four hundred sixty-four".