461011824 has 240 divisors, whose sum is σ = 1648005632. Its totient is φ = 121492224.

The previous prime is 461011813. The next prime is 461011843. The reversal of 461011824 is 428110164.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353157 + ... + 354459.

Almost surely, 2^461011824 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 461011824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824002816).

461011824 is an abundant number, since it is smaller than the sum of its proper divisors (1186993808).

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

461011824 is a wasteful number, since it uses less digits than its factorization.

461011824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 461011824 is about 21471.1859011094. The cubic root of 461011824 is about 772.5098424611.

Adding to 461011824 its reverse (428110164), we get a palindrome (889121988).

The spelling of 461011824 in words is "four hundred sixty-one million, eleven thousand, eight hundred twenty-four".