464677824 has 112 divisors (see below), whose sum is σ = 1340583552. Its totient is φ = 141192192.

The previous prime is 464677757. The next prime is 464677849. The reversal of 464677824 is 428776464.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206047 + ... + 208289.

It is an arithmetic number, because the mean of its divisors is an integer number (11969496).

Almost surely, 2^464677824 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 464677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670291776).

464677824 is an abundant number, since it is smaller than the sum of its proper divisors (875905728).

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

464677824 is a wasteful number, since it uses less digits than its factorization.

464677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The square root of 464677824 is about 21556.3870813270. The cubic root of 464677824 is about 774.5521235993.

The spelling of 464677824 in words is "four hundred sixty-four million, six hundred seventy-seven thousand, eight hundred twenty-four".