466232520 has 128 divisors (see below), whose sum is σ = 1534982400. Its totient is φ = 112579584.

The previous prime is 466232519. The next prime is 466232521. The reversal of 466232520 is 25232664.

It is an interprime number because it is at equal distance from previous prime (466232519) and next prime (466232521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (466232521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79861 + ... + 85499.

It is an arithmetic number, because the mean of its divisors is an integer number (11992050).

Almost surely, 2^466232520 is an apocalyptic number.

466232520 is a gapful number since it is divisible by the number (40) 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 466232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767491200).

466232520 is an abundant number, since it is smaller than the sum of its proper divisors (1068749880).

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

466232520 is a wasteful number, since it uses less digits than its factorization.

466232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 466232520 is about 21592.4181137732. The cubic root of 466232520 is about 775.4149813618.

The spelling of 466232520 in words is "four hundred sixty-six million, two hundred thirty-two thousand, five hundred twenty".