466761520 has 80 divisors (see below), whose sum is σ = 1153104768. Its totient is φ = 175104000.

The previous prime is 466761509. The next prime is 466761521. The reversal of 466761520 is 25167664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 466761520.

It is not an unprimeable number, because it can be changed into a prime (466761521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621145 + ... + 621895.

Almost surely, 2^466761520 is an apocalyptic number.

466761520 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 466761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576552384).

466761520 is an abundant number, since it is smaller than the sum of its proper divisors (686343248).

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

466761520 is a wasteful number, since it uses less digits than its factorization.

466761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 466761520 is about 21604.6643112084. The cubic root of 466761520 is about 775.7081394364.

The spelling of 466761520 in words is "four hundred sixty-six million, seven hundred sixty-one thousand, five hundred twenty".