212874480 has 600 divisors, whose sum is σ = 960376032. Its totient is φ = 42550272.

The previous prime is 212874463. The next prime is 212874481. The reversal of 212874480 is 84478212.

It is a super-4 number, since 4×212874480⁴ (a number of 34 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212874481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11203911 + ... + 11203929.

Almost surely, 2^212874480 is an apocalyptic number.

212874480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212874480 is the 8424-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480188016).

212874480 is an abundant number, since it is smaller than the sum of its proper divisors (747501552).

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

212874480 is a wasteful number, since it uses less digits than its factorization.

212874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 212874480 is about 14590.2186412679. The cubic root of 212874480 is about 597.0919279666.

The spelling of 212874480 in words is "two hundred twelve million, eight hundred seventy-four thousand, four hundred eighty".