465066144 has 96 divisors (see below), whose sum is σ = 1436279040. Its totient is φ = 145898496.

The previous prime is 465066139. The next prime is 465066197. The reversal of 465066144 is 441660564.

465066144 is a `hidden beast` number, since 4 + 6 + 506 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 465066099 and 465066108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1144 + ... + 30519.

It is an arithmetic number, because the mean of its divisors is an integer number (14961240).

Almost surely, 2^465066144 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 465066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718139520).

465066144 is an abundant number, since it is smaller than the sum of its proper divisors (971212896).

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

465066144 is a wasteful number, since it uses less digits than its factorization.

465066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31699 (or 31685 counting only the distinct ones).

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

The square root of 465066144 is about 21565.3922755882. The cubic root of 465066144 is about 774.7678216742.

It can be divided in two parts, 46506 and 6144, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 465066144 in words is "four hundred sixty-five million, sixty-six thousand, one hundred forty-four".