461748336 has 160 divisors (see below), whose sum is σ = 1447526400. Its totient is φ = 123897600.

The previous prime is 461748323. The next prime is 461748347. The reversal of 461748336 is 633847164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 963745 + ... + 964223.

It is an arithmetic number, because the mean of its divisors is an integer number (9047040).

Almost surely, 2^461748336 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 461748336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723763200).

461748336 is an abundant number, since it is smaller than the sum of its proper divisors (985778064).

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

461748336 is a wasteful number, since it uses less digits than its factorization.

461748336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 461748336 is about 21488.3302282890. The cubic root of 461748336 is about 772.9210105459.

The spelling of 461748336 in words is "four hundred sixty-one million, seven hundred forty-eight thousand, three hundred thirty-six".