468400212 has 144 divisors (see below), whose sum is σ = 1436783040. Its totient is φ = 131544000.

The previous prime is 468400211. The next prime is 468400249. The reversal of 468400212 is 212004864.

468400212 is a `hidden beast` number, since 46 + 8 + 400 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468400211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322087 + ... + 323537.

It is an arithmetic number, because the mean of its divisors is an integer number (9977660).

Almost surely, 2^468400212 is an apocalyptic number.

468400212 is a gapful number since it is divisible by the number (42) 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 468400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718391520).

468400212 is an abundant number, since it is smaller than the sum of its proper divisors (968382828).

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

468400212 is a wasteful number, since it uses less digits than its factorization.

468400212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 468400212 is about 21642.5555792286. Note that the first 4 decimals coincide. The cubic root of 468400212 is about 776.6148566036.

The spelling of 468400212 in words is "four hundred sixty-eight million, four hundred thousand, two hundred twelve".