264400420 has 12 divisors (see below), whose sum is σ = 555240924. Its totient is φ = 105760160.

The previous prime is 264400393. The next prime is 264400429. The reversal of 264400420 is 24004462.

264400420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 163277284 = 10056^2 + 12778^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264400391 and 264400400.

It is not an unprimeable number, because it can be changed into a prime (264400429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6609991 + ... + 6610030.

It is an arithmetic number, because the mean of its divisors is an integer number (46270077).

Almost surely, 2^264400420 is an apocalyptic number.

264400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264400420 is an abundant number, since it is smaller than the sum of its proper divisors (290840504).

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

264400420 is a wasteful number, since it uses less digits than its factorization.

264400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220030 (or 13220028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 264400420 is about 16260.3942141634. The cubic root of 264400420 is about 641.8310357201.

Adding to 264400420 its reverse (24004462), we get a palindrome (288404882).

The spelling of 264400420 in words is "two hundred sixty-four million, four hundred thousand, four hundred twenty".