407048857225 has 48 divisors (see below), whose sum is σ = 538601799600. Its totient is φ = 304096665600.

The previous prime is 407048857211. The next prime is 407048857231. The reversal of 407048857225 is 522758840704.

It can be written as a sum of positive squares in 24 ways, for example, as 87774135289 + 319274721936 = 296267^2 + 565044^2 .

It is not a de Polignac number, because 407048857225 - 2⁹ = 407048856713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69211285 + ... + 69217165.

It is an arithmetic number, because the mean of its divisors is an integer number (11220870825).

Almost surely, 2^407048857225 is an apocalyptic number.

It is an amenable number.

407048857225 is a deficient number, since it is larger than the sum of its proper divisors (131552942375).

407048857225 is a wasteful number, since it uses less digits than its factorization.

407048857225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 52.

The spelling of 407048857225 in words is "four hundred seven billion, forty-eight million, eight hundred fifty-seven thousand, two hundred twenty-five".