464048424 has 144 divisors (see below), whose sum is σ = 1509505920. Its totient is φ = 128278080.

The previous prime is 464048359. The next prime is 464048441. The reversal of 464048424 is 424840464.

464048424 is a `hidden beast` number, since 4 + 640 + 4 + 8 + 4 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107247 + ... + 111489.

It is an arithmetic number, because the mean of its divisors is an integer number (10482680).

Almost surely, 2^464048424 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 464048424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754752960).

464048424 is an abundant number, since it is smaller than the sum of its proper divisors (1045457496).

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

464048424 is a wasteful number, since it uses less digits than its factorization.

464048424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 464048424 is about 21541.7832130954. The cubic root of 464048424 is about 774.2022587017.

Adding to 464048424 its reverse (424840464), we get a palindrome (888888888).

The spelling of 464048424 in words is "four hundred sixty-four million, forty-eight thousand, four hundred twenty-four".