461049624 has 192 divisors, whose sum is σ = 1505894400. Its totient is φ = 130691232.

The previous prime is 461049623. The next prime is 461049643. The reversal of 461049624 is 426940164.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461049623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3630249 + ... + 3630375.

It is an arithmetic number, because the mean of its divisors is an integer number (7843200).

Almost surely, 2^461049624 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 461049624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752947200).

461049624 is an abundant number, since it is smaller than the sum of its proper divisors (1044844776).

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

461049624 is an equidigital number, since it uses as much as digits as its factorization.

461049624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 461049624 is about 21472.0661325360. The cubic root of 461049624 is about 772.5309554944.

Adding to 461049624 its reverse (426940164), we get a palindrome (887989788).

The spelling of 461049624 in words is "four hundred sixty-one million, forty-nine thousand, six hundred twenty-four".