464190129225 has 81 divisors (see below), whose sum is σ = 848389128223. Its totient is φ = 242613546240.

The previous prime is 464190129187. The next prime is 464190129233. The reversal of 464190129225 is 522921091464.

The square root of 464190129225 is 681315.

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

464190129225 is a `hidden beast` number, since 4 + 6 + 419 + 0 + 1 + 2 + 9 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 16083058761 + 448107070464 = 126819^2 + 669408^2 .

It is not a de Polignac number, because 464190129225 - 2¹⁹ = 464189604937 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 541644997 + ... + 541645853.

Almost surely, 2^464190129225 is an apocalyptic number.

464190129225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

464190129225 is the 681315-th square number.

464190129225 is the 340658-th centered octagonal number.

It is an amenable number.

464190129225 is a deficient number, since it is larger than the sum of its proper divisors (384198998998).

464190129225 is an frugal number, since it uses more digits than its factorization.

464190129225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 464190129225 in words is "four hundred sixty-four billion, one hundred ninety million, one hundred twenty-nine thousand, two hundred twenty-five".