465064654320 has 480 divisors, whose sum is σ = 1802269647360. Its totient is φ = 105273907200.

The previous prime is 465064654291. The next prime is 465064654321. The reversal of 465064654320 is 23456460564.

It is a happy number.

465064654320 is a `hidden beast` number, since 4 + 65 + 0 + 6 + 46 + 543 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465064654321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491092087 + ... + 491093033.

It is an arithmetic number, because the mean of its divisors is an integer number (3754728432).

Almost surely, 2^465064654320 is an apocalyptic number.

465064654320 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 465064654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901134823680).

465064654320 is an abundant number, since it is smaller than the sum of its proper divisors (1337204993040).

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

465064654320 is a wasteful number, since it uses less digits than its factorization.

465064654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 465064654320 in words is "four hundred sixty-five billion, sixty-four million, six hundred fifty-four thousand, three hundred twenty".