466650144 has 72 divisors (see below), whose sum is σ = 1329875820. Its totient is φ = 155217408.

The previous prime is 466650139. The next prime is 466650181. The reversal of 466650144 is 441056664.

It can be written as a sum of positive squares in 2 ways, for example, as 466041744 + 608400 = 21588^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 466650099 and 466650108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158962 + ... + 161870.

Almost surely, 2^466650144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664937910).

466650144 is an abundant number, since it is smaller than the sum of its proper divisors (863225676).

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

466650144 is a wasteful number, since it uses less digits than its factorization.

466650144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 466650144 is about 21602.0865658853. The cubic root of 466650144 is about 775.6464361621.

The spelling of 466650144 in words is "four hundred sixty-six million, six hundred fifty thousand, one hundred forty-four".