215040420 has 336 divisors, whose sum is σ = 807945600. Its totient is φ = 48009024.

The previous prime is 215040403. The next prime is 215040457. The reversal of 215040420 is 24040512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 215040393 and 215040402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5000919 + ... + 5000961.

It is an arithmetic number, because the mean of its divisors is an integer number (2404600).

Almost surely, 2^215040420 is an apocalyptic number.

215040420 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 215040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403972800).

215040420 is an abundant number, since it is smaller than the sum of its proper divisors (592905180).

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

215040420 is an equidigital number, since it uses as much as digits as its factorization.

215040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 215040420 is about 14664.2565444007. The cubic root of 215040420 is about 599.1101810227.

Adding to 215040420 its reverse (24040512), we get a palindrome (239080932).

The spelling of 215040420 in words is "two hundred fifteen million, forty thousand, four hundred twenty".