464409225 has 72 divisors (see below), whose sum is σ = 964259712. Its totient is φ = 209260800.

The previous prime is 464409223. The next prime is 464409241. The reversal of 464409225 is 522904464.

464409225 is a `hidden beast` number, since 4 + 644 + 0 + 9 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 464409225 - 2¹ = 464409223 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464409225.

It is not an unprimeable number, because it can be changed into a prime (464409223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109749 + ... + 113901.

It is an arithmetic number, because the mean of its divisors is an integer number (13392496).

Almost surely, 2^464409225 is an apocalyptic number.

464409225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464409225 is an abundant number, since it is smaller than the sum of its proper divisors (499850487).

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

464409225 is a wasteful number, since it uses less digits than its factorization.

464409225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4239 counting only the distinct ones).

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

The square root of 464409225 is about 21550.1560319177. The cubic root of 464409225 is about 774.4028560040.

The spelling of 464409225 in words is "four hundred sixty-four million, four hundred nine thousand, two hundred twenty-five".