264000420400 has 60 divisors (see below), whose sum is σ = 638824173400. Its totient is φ = 104840432640.

The previous prime is 264000420377. The next prime is 264000420407. The reversal of 264000420400 is 4024000462.

264000420400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (264000420407) 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, 2318505 + ... + 2429704.

Almost surely, 2^264000420400 is an apocalyptic number.

264000420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264000420400 is an abundant number, since it is smaller than the sum of its proper divisors (374823753000).

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

264000420400 is a wasteful number, since it uses less digits than its factorization.

264000420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748366 (or 4748355 counting only the distinct ones).

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

Adding to 264000420400 its reverse (4024000462), we get a palindrome (268024420862).

The spelling of 264000420400 in words is "two hundred sixty-four billion, four hundred twenty thousand, four hundred".