212495400 has 240 divisors, whose sum is σ = 795587100. Its totient is φ = 52254720.

The previous prime is 212495377. The next prime is 212495401. The reversal of 212495400 is 4594212.

212495400 is a `hidden beast` number, since 212 + 49 + 5 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 24860196 + 187635204 = 4986^2 + 13698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (212495401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210096 + ... + 211104.

Almost surely, 2^212495400 is an apocalyptic number.

212495400 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 212495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397793550).

212495400 is an abundant number, since it is smaller than the sum of its proper divisors (583091700).

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

212495400 is a wasteful number, since it uses less digits than its factorization.

212495400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212495400 is about 14577.2219575610. The cubic root of 212495400 is about 596.7372900325.

The spelling of 212495400 in words is "two hundred twelve million, four hundred ninety-five thousand, four hundred".