461217024 has 144 divisors (see below), whose sum is σ = 1390737600. Its totient is φ = 150718464.

The previous prime is 461217023. The next prime is 461217037. The reversal of 461217024 is 420712164.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×461217024² = 425442286454833152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461217023) 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, 365707 + ... + 366965.

It is an arithmetic number, because the mean of its divisors is an integer number (9657900).

Almost surely, 2^461217024 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 461217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695368800).

461217024 is an abundant number, since it is smaller than the sum of its proper divisors (929520576).

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

461217024 is a wasteful number, since it uses less digits than its factorization.

461217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 461217024 is about 21475.9638666114. The cubic root of 461217024 is about 772.6244422015.

Adding to 461217024 its reverse (420712164), we get a palindrome (881929188).

The spelling of 461217024 in words is "four hundred sixty-one million, two hundred seventeen thousand, twenty-four".