407772225 has 144 divisors (see below), whose sum is σ = 889720832. Its totient is φ = 181258560.

The previous prime is 407772191. The next prime is 407772259. The reversal of 407772225 is 522277704.

407772225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (407772191) and next prime (407772259).

It is not a de Polignac number, because 407772225 - 2¹⁴ = 407755841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 407772225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1828464 + ... + 1828686.

Almost surely, 2^407772225 is an apocalyptic number.

407772225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407772225 is an abundant number, since it is smaller than the sum of its proper divisors (481948607).

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

407772225 is a wasteful number, since it uses less digits than its factorization.

407772225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 407772225 is about 20193.3708181670. The cubic root of 407772225 is about 741.5479073127.

The spelling of 407772225 in words is "four hundred seven million, seven hundred seventy-two thousand, two hundred twenty-five".