461257728 has 88 divisors (see below), whose sum is σ = 1253058768. Its totient is φ = 150798336.

The previous prime is 461257723. The next prime is 461257729. The reversal of 461257728 is 827752164.

It is a self number, because there is not a number n which added to its sum of digits gives 461257728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461257721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161400 + ... + 164232.

Almost surely, 2^461257728 is an apocalyptic number.

461257728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626529384).

461257728 is an abundant number, since it is smaller than the sum of its proper divisors (791801040).

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

461257728 is a wasteful number, since it uses less digits than its factorization.

461257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2891 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 461257728 is about 21476.9115098051. The cubic root of 461257728 is about 772.6471704607.

The spelling of 461257728 in words is "four hundred sixty-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".