264121420 has 48 divisors (see below), whose sum is σ = 586994688. Its totient is φ = 99619520.

The previous prime is 264121409. The next prime is 264121433. The reversal of 264121420 is 24121462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 264121391 and 264121400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28617 + ... + 36703.

It is an arithmetic number, because the mean of its divisors is an integer number (12229056).

Almost surely, 2^264121420 is an apocalyptic number.

264121420 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 264121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293497344).

264121420 is an abundant number, since it is smaller than the sum of its proper divisors (322873268).

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

264121420 is a wasteful number, since it uses less digits than its factorization.

264121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 264121420 is about 16251.8128219593. The cubic root of 264121420 is about 641.6051991119.

Adding to 264121420 its reverse (24121462), we get a palindrome (288242882).

The spelling of 264121420 in words is "two hundred sixty-four million, one hundred twenty-one thousand, four hundred twenty".