407957121 has 64 divisors (see below), whose sum is σ = 715626240. Its totient is φ = 226437120.

The previous prime is 407957111. The next prime is 407957129. The reversal of 407957121 is 121759704.

It is a happy number.

It is not a de Polignac number, because 407957121 - 2⁶ = 407957057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407957129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605841 + ... + 606513.

It is an arithmetic number, because the mean of its divisors is an integer number (11181660).

Almost surely, 2^407957121 is an apocalyptic number.

It is an amenable number.

407957121 is a deficient number, since it is larger than the sum of its proper divisors (307669119).

407957121 is a wasteful number, since it uses less digits than its factorization.

407957121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 407957121 is about 20197.9484354228. The cubic root of 407957121 is about 741.6599703024.

The spelling of 407957121 in words is "four hundred seven million, nine hundred fifty-seven thousand, one hundred twenty-one".