464727744 has 168 divisors, whose sum is σ = 1462838832. Its totient is φ = 140175360.

The previous prime is 464727737. The next prime is 464727749. The reversal of 464727744 is 447727464.

It is a self number, because there is not a number n which added to its sum of digits gives 464727744.

It is not an unprimeable number, because it can be changed into a prime (464727749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396279 + ... + 397449.

It is an arithmetic number, because the mean of its divisors is an integer number (8707374).

Almost surely, 2^464727744 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 464727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731419416).

464727744 is an abundant number, since it is smaller than the sum of its proper divisors (998111088).

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

464727744 is a wasteful number, since it uses less digits than its factorization.

464727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 45.

The square root of 464727744 is about 21557.5449437082. The cubic root of 464727744 is about 774.5798591295.

The spelling of 464727744 in words is "four hundred sixty-four million, seven hundred twenty-seven thousand, seven hundred forty-four".