264422400 has 264 divisors, whose sum is σ = 956423904. Its totient is φ = 63897600.

The previous prime is 264422393. The next prime is 264422419. The reversal of 264422400 is 4224462.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844644 + ... + 844956.

Almost surely, 2^264422400 is an apocalyptic number.

264422400 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 264422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478211952).

264422400 is an abundant number, since it is smaller than the sum of its proper divisors (692001504).

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

264422400 is a wasteful number, since it uses less digits than its factorization.

264422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 264422400 is about 16261.0700754901. The cubic root of 264422400 is about 641.8488206833.

Adding to 264422400 its reverse (4224462), we get a palindrome (268646862).

It can be divided in two parts, 264 and 422400, that multiplied together give a square (111513600 = 10560²).

The spelling of 264422400 in words is "two hundred sixty-four million, four hundred twenty-two thousand, four hundred".