462241728 has 280 divisors, whose sum is σ = 1557599120. Its totient is φ = 134742528.

The previous prime is 462241727. The next prime is 462241739. The reversal of 462241728 is 827142264.

462241728 is a `hidden beast` number, since 4 + 622 + 4 + 1 + 7 + 28 = 666.

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 = 462241692 and 462241701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462241727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24328503 + ... + 24328521.

It is an arithmetic number, because the mean of its divisors is an integer number (5562854).

Almost surely, 2^462241728 is an apocalyptic number.

462241728 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 462241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778799560).

462241728 is an abundant number, since it is smaller than the sum of its proper divisors (1095357392).

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

462241728 is an equidigital number, since it uses as much as digits as its factorization.

462241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 37 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 462241728 is about 21499.8076270463. The cubic root of 462241728 is about 773.1962090072.

The spelling of 462241728 in words is "four hundred sixty-two million, two hundred forty-one thousand, seven hundred twenty-eight".