466728075 has 120 divisors (see below), whose sum is σ = 985222656. Its totient is φ = 216216000.

The previous prime is 466728061. The next prime is 466728077. The reversal of 466728075 is 570827664.

It is not a de Polignac number, because 466728075 - 2⁶ = 466728011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 466728075.

It is not an unprimeable number, because it can be changed into a prime (466728077) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 511870 + ... + 512780.

Almost surely, 2^466728075 is an apocalyptic number.

466728075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

466728075 is an abundant number, since it is smaller than the sum of its proper divisors (518494581).

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

466728075 is a wasteful number, since it uses less digits than its factorization.

466728075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 466728075 is about 21603.8902746704. The cubic root of 466728075 is about 775.6896116463.

466728075 divided by its sum of digits (45) gives a triangular number (10371735 = T₄₅₅₄).

The spelling of 466728075 in words is "four hundred sixty-six million, seven hundred twenty-eight thousand, seventy-five".