406071225 has 96 divisors (see below), whose sum is σ = 863873280. Its totient is φ = 185457600.

The previous prime is 406071209. The next prime is 406071247. The reversal of 406071225 is 522170604.

406071225 is a `hidden beast` number, since 40 + 607 + 12 + 2 + 5 = 666.

It is not a de Polignac number, because 406071225 - 2⁴ = 406071209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382195 + ... + 383255.

It is an arithmetic number, because the mean of its divisors is an integer number (8998680).

Almost surely, 2^406071225 is an apocalyptic number.

406071225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406071225 is an abundant number, since it is smaller than the sum of its proper divisors (457802055).

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

406071225 is an equidigital number, since it uses as much as digits as its factorization.

406071225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 406071225 is about 20151.2090208007. The cubic root of 406071225 is about 740.5153611137.

The spelling of 406071225 in words is "four hundred six million, seventy-one thousand, two hundred twenty-five".