464784440 has 32 divisors (see below), whose sum is σ = 1054010880. Its totient is φ = 184447872.

The previous prime is 464784431. The next prime is 464784469. The reversal of 464784440 is 44487464.

It is a super-2 number, since 2×464784440² = 432049151332227200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40667 + ... + 50826.

It is an arithmetic number, because the mean of its divisors is an integer number (32937840).

Almost surely, 2^464784440 is an apocalyptic number.

464784440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464784440 is an abundant number, since it is smaller than the sum of its proper divisors (589226440).

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

464784440 is a wasteful number, since it uses less digits than its factorization.

464784440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91631 (or 91627 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 41.

The square root of 464784440 is about 21558.8598956438. The cubic root of 464784440 is about 774.6113569936.

The spelling of 464784440 in words is "four hundred sixty-four million, seven hundred eighty-four thousand, four hundred forty".