464237424 has 240 divisors, whose sum is σ = 1559900160. Its totient is φ = 126120960.

The previous prime is 464237413. The next prime is 464237437. The reversal of 464237424 is 424732464.

464237424 is a `hidden beast` number, since 4 + 642 + 3 + 7 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942297 + ... + 1942535.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^464237424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464237424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779950080).

464237424 is an abundant number, since it is smaller than the sum of its proper divisors (1095662736).

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

464237424 is a wasteful number, since it uses less digits than its factorization.

464237424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 464237424 is about 21546.1695899758. The cubic root of 464237424 is about 774.3073514454.

Adding to 464237424 its reverse (424732464), we get a palindrome (888969888).

The spelling of 464237424 in words is "four hundred sixty-four million, two hundred thirty-seven thousand, four hundred twenty-four".