466545024 has 144 divisors (see below), whose sum is σ = 1476116460. Its totient is φ = 141335040.

The previous prime is 466544993. The next prime is 466545029. The reversal of 466545024 is 420545664.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 466545024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466545029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137719 + ... + 141065.

Almost surely, 2^466545024 is an apocalyptic number.

466545024 is a gapful number since it is divisible by the number (44) 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 466545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738058230).

466545024 is an abundant number, since it is smaller than the sum of its proper divisors (1009571436).

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

466545024 is a wasteful number, since it uses less digits than its factorization.

466545024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 466545024 is about 21599.6533305514. The cubic root of 466545024 is about 775.5881897594.

It can be divided in two parts, 466 and 545024, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 466545024 in words is "four hundred sixty-six million, five hundred forty-five thousand, twenty-four".