461251728 has 240 divisors, whose sum is σ = 1578470400. Its totient is φ = 122895360.

The previous prime is 461251727. The next prime is 461251787. The reversal of 461251728 is 827152164.

461251728 is a `hidden beast` number, since 4 + 612 + 5 + 17 + 28 = 666.

It is a super-3 number, since 3×461251728³ (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 junction number, because it is equal to n+sod(n) for n = 461251692 and 461251701.

It is not an unprimeable number, because it can be changed into a prime (461251723) 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, 905938 + ... + 906446.

It is an arithmetic number, because the mean of its divisors is an integer number (6576960).

Almost surely, 2^461251728 is an apocalyptic number.

461251728 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 461251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789235200).

461251728 is an abundant number, since it is smaller than the sum of its proper divisors (1117218672).

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

461251728 is a wasteful number, since it uses less digits than its factorization.

461251728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 461251728 is about 21476.7718244619. The cubic root of 461251728 is about 772.6438202707.

The spelling of 461251728 in words is "four hundred sixty-one million, two hundred fifty-one thousand, seven hundred twenty-eight".