464823144 has 128 divisors (see below), whose sum is σ = 1385424000. Its totient is φ = 143949312.

The previous prime is 464823113. The next prime is 464823173. The reversal of 464823144 is 441328464.

464823144 is a `hidden beast` number, since 4 + 648 + 2 + 3 + 1 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 junction number, because it is equal to n+sod(n) for n = 464823099 and 464823108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216444 + ... + 218580.

It is an arithmetic number, because the mean of its divisors is an integer number (10823625).

Almost surely, 2^464823144 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 464823144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692712000).

464823144 is an abundant number, since it is smaller than the sum of its proper divisors (920600856).

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

464823144 is a wasteful number, since it uses less digits than its factorization.

464823144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 464823144 is about 21559.7575125510. The cubic root of 464823144 is about 774.6328578036.

The spelling of 464823144 in words is "four hundred sixty-four million, eight hundred twenty-three thousand, one hundred forty-four".