212409472 has 64 divisors (see below), whose sum is σ = 464214240. Its totient is φ = 96010240.

The previous prime is 212409469. The next prime is 212409481. The reversal of 212409472 is 274904212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×212409472³ (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361563 + ... + 362149.

Almost surely, 2^212409472 is an apocalyptic number.

212409472 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 212409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232107120).

212409472 is an abundant number, since it is smaller than the sum of its proper divisors (251804768).

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

212409472 is a wasteful number, since it uses less digits than its factorization.

212409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 212409472 is about 14574.2743215571. The cubic root of 212409472 is about 596.6568438125.

The spelling of 212409472 in words is "two hundred twelve million, four hundred nine thousand, four hundred seventy-two".