465286530240 has 336 divisors, whose sum is σ = 1829829980160. Its totient is φ = 106304071680.

The previous prime is 465286530221. The next prime is 465286530251. The reversal of 465286530240 is 42035682564.

465286530240 is a `hidden beast` number, since 4 + 65 + 286 + 5 + 302 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67714005 + ... + 67720875.

It is an arithmetic number, because the mean of its divisors is an integer number (5445922560).

Almost surely, 2^465286530240 is an apocalyptic number.

465286530240 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 465286530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914914990080).

465286530240 is an abundant number, since it is smaller than the sum of its proper divisors (1364543449920).

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

465286530240 is a wasteful number, since it uses less digits than its factorization.

465286530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 465286530240 in words is "four hundred sixty-five billion, two hundred eighty-six million, five hundred thirty thousand, two hundred forty".