212892480 has 168 divisors, whose sum is σ = 757809000. Its totient is φ = 54792192.

The previous prime is 212892461. The next prime is 212892497. The reversal of 212892480 is 84298212.

It can be written as a sum of positive squares in 4 ways, for example, as 65415744 + 147476736 = 8088^2 + 12144^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82246 + ... + 84794.

Almost surely, 2^212892480 is an apocalyptic number.

212892480 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 212892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378904500).

212892480 is an abundant number, since it is smaller than the sum of its proper divisors (544916520).

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

212892480 is a wasteful number, since it uses less digits than its factorization.

212892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 212892480 is about 14590.8354798483. The cubic root of 212892480 is about 597.1087569007.

The spelling of 212892480 in words is "two hundred twelve million, eight hundred ninety-two thousand, four hundred eighty".