464161744 has 60 divisors (see below), whose sum is σ = 981507244. Its totient is φ = 212447232.

The previous prime is 464161721. The next prime is 464161751. The reversal of 464161744 is 447161464.

It can be written as a sum of positive squares in 6 ways, for example, as 265690000 + 198471744 = 16300^2 + 14088^2 .

It is a super-2 number, since 2×464161744² = 430892249186243072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169732 + ... + 172444.

Almost surely, 2^464161744 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 464161744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490753622).

464161744 is an abundant number, since it is smaller than the sum of its proper divisors (517345500).

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

464161744 is a wasteful number, since it uses less digits than its factorization.

464161744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2769 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 464161744 is about 21544.4132897603. The cubic root of 464161744 is about 774.2652732889.

The spelling of 464161744 in words is "four hundred sixty-four million, one hundred sixty-one thousand, seven hundred forty-four".