212490432 has 224 divisors, whose sum is σ = 779312640. Its totient is φ = 55157760.

The previous prime is 212490407. The next prime is 212490451. The reversal of 212490432 is 234094212.

212490432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212490396 and 212490405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132258 + ... + 133854.

Almost surely, 2^212490432 is an apocalyptic number.

212490432 is a gapful number since it is divisible by the number (22) 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 212490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389656320).

212490432 is an abundant number, since it is smaller than the sum of its proper divisors (566822208).

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

212490432 is a wasteful number, since it uses less digits than its factorization.

212490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212490432 is about 14577.0515537265. The cubic root of 212490432 is about 596.7326395569.

The spelling of 212490432 in words is "two hundred twelve million, four hundred ninety thousand, four hundred thirty-two".