465669760000 has 165 divisors, whose sum is σ = 1164598897341. Its totient is φ = 186049536000.

The previous prime is 465669759979. The next prime is 465669760027. The reversal of 465669760000 is 67966564.

The square root of 465669760000 is 682400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 464883966976 + 785793024 = 681824^2 + 28032^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 545919574 + ... + 545920426.

Almost surely, 2^465669760000 is an apocalyptic number.

465669760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

465669760000 is the 682400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465669760000

465669760000 is an abundant number, since it is smaller than the sum of its proper divisors (698929137341).

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

465669760000 is an frugal number, since it uses more digits than its factorization.

465669760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 465669760000 by its sum of digits (49), we get a square (22817818240000 = 4776800²).

The spelling of 465669760000 in words is "four hundred sixty-five billion, six hundred sixty-nine million, seven hundred sixty thousand".