212480040 has 128 divisors (see below), whose sum is σ = 687657600. Its totient is φ = 52346880.

The previous prime is 212480033. The next prime is 212480053. The reversal of 212480040 is 40084212.

It is a junction number, because it is equal to n+sod(n) for n = 212479989 and 212480016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92344 + ... + 94616.

It is an arithmetic number, because the mean of its divisors is an integer number (5372325).

Almost surely, 2^212480040 is an apocalyptic number.

212480040 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 212480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343828800).

212480040 is an abundant number, since it is smaller than the sum of its proper divisors (475177560).

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

212480040 is a wasteful number, since it uses less digits than its factorization.

212480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 212480040 is about 14576.6950986841. The cubic root of 212480040 is about 596.7229115163.

The spelling of 212480040 in words is "two hundred twelve million, four hundred eighty thousand, forty".