465723744 has 96 divisors (see below), whose sum is σ = 1292578560. Its totient is φ = 146419200.

The previous prime is 465723743. The next prime is 465723779. The reversal of 465723744 is 447327564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 465723696 and 465723705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465723743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566854 + ... + 567674.

It is an arithmetic number, because the mean of its divisors is an integer number (13464360).

Almost surely, 2^465723744 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 465723744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646289280).

465723744 is an abundant number, since it is smaller than the sum of its proper divisors (826854816).

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

465723744 is a wasteful number, since it uses less digits than its factorization.

465723744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The square root of 465723744 is about 21580.6335402833. The cubic root of 465723744 is about 775.1328216336.

The spelling of 465723744 in words is "four hundred sixty-five million, seven hundred twenty-three thousand, seven hundred forty-four".