211430400 has 132 divisors (see below), whose sum is σ = 699042312. Its totient is φ = 56360960.

The previous prime is 211430381. The next prime is 211430407. The reversal of 211430400 is 4034112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211430400.

It is not an unprimeable number, because it can be changed into a prime (211430407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75424 + ... + 78176.

Almost surely, 2^211430400 is an apocalyptic number.

211430400 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 211430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349521156).

211430400 is an abundant number, since it is smaller than the sum of its proper divisors (487611912).

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

211430400 is a wasteful number, since it uses less digits than its factorization.

211430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 211430400 is about 14540.6464780628. The cubic root of 211430400 is about 595.7386960175.

Adding to 211430400 its reverse (4034112), we get a palindrome (215464512).

The spelling of 211430400 in words is "two hundred eleven million, four hundred thirty thousand, four hundred".