466513040 has 80 divisors (see below), whose sum is σ = 1248134400. Its totient is φ = 158845440.

The previous prime is 466513039. The next prime is 466513087. The reversal of 466513040 is 40315664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 466512994 and 466513012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80645 + ... + 86235.

It is an arithmetic number, because the mean of its divisors is an integer number (15601680).

Almost surely, 2^466513040 is an apocalyptic number.

466513040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624067200).

466513040 is an abundant number, since it is smaller than the sum of its proper divisors (781621360).

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

466513040 is a wasteful number, since it uses less digits than its factorization.

466513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 466513040 is about 21598.9129356086. The cubic root of 466513040 is about 775.5704658684.

The spelling of 466513040 in words is "four hundred sixty-six million, five hundred thirteen thousand, forty".