461148624 has 60 divisors (see below), whose sum is σ = 1299916800. Its totient is φ = 152603712.

The previous prime is 461148619. The next prime is 461148637. The reversal of 461148624 is 426841164.

It is a happy number.

It is a super-3 number, since 3×461148624³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 8497 + ... + 31535.

It is an arithmetic number, because the mean of its divisors is an integer number (21665280).

Almost surely, 2^461148624 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 461148624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

461148624 is an abundant number, since it is smaller than the sum of its proper divisors (838768176).

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

461148624 is a wasteful number, since it uses less digits than its factorization.

461148624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23192 (or 23183 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 461148624 is about 21474.3713295640. The cubic root of 461148624 is about 772.5862460655.

Adding to 461148624 its reverse (426841164), we get a palindrome (887989788).

It can be divided in two parts, 4611 and 48624, that added together give a palindrome (53235).

The spelling of 461148624 in words is "four hundred sixty-one million, one hundred forty-eight thousand, six hundred twenty-four".