422400264 has 64 divisors (see below), whose sum is σ = 1240626240. Its totient is φ = 118152960.

The previous prime is 422400263. The next prime is 422400287. The reversal of 422400264 is 462004224.

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

It is not an unprimeable number, because it can be changed into a prime (422400263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58107 + ... + 64970.

It is an arithmetic number, because the mean of its divisors is an integer number (19384785).

Almost surely, 2^422400264 is an apocalyptic number.

422400264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422400264 is an abundant number, since it is smaller than the sum of its proper divisors (818225976).

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

422400264 is a wasteful number, since it uses less digits than its factorization.

422400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123110 (or 123106 counting only the distinct ones).

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

The square root of 422400264 is about 20552.3785484795. The cubic root of 422400264 is about 750.3111384615.

Adding to 422400264 its reverse (462004224), we get a palindrome (884404488).

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

The spelling of 422400264 in words is "four hundred twenty-two million, four hundred thousand, two hundred sixty-four".