464181696 has 168 divisors, whose sum is σ = 1476469488. Its totient is φ = 138240000.

The previous prime is 464181673. The next prime is 464181713. The reversal of 464181696 is 696181464.

464181696 = T₆₅ + T₆₆ + ... + T₁₄₀₆.

464181696 is a `hidden beast` number, since 464 + 181 + 6 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385896 + ... + 387096.

Almost surely, 2^464181696 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 464181696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738234744).

464181696 is an abundant number, since it is smaller than the sum of its proper divisors (1012287792).

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

464181696 is a wasteful number, since it uses less digits than its factorization.

464181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1278 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 464181696 is about 21544.8763282596. The cubic root of 464181696 is about 774.2763670650.

The spelling of 464181696 in words is "four hundred sixty-four million, one hundred eighty-one thousand, six hundred ninety-six".