407728001 has 2 divisors, whose sum is σ = 407728002. Its totient is φ = 407728000.

The previous prime is 407727977. The next prime is 407728003. The reversal of 407728001 is 100827704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241833601 + 165894400 = 15551^2 + 12880^2 .

It is a cyclic number.

It is not a de Polignac number, because 407728001 - 2¹⁸ = 407465857 is a prime.

Together with 407728003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (407728003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203864000 + 203864001.

It is an arithmetic number, because the mean of its divisors is an integer number (203864001).

Almost surely, 2^407728001 is an apocalyptic number.

It is an amenable number.

407728001 is a deficient number, since it is larger than the sum of its proper divisors (1).

407728001 is an equidigital number, since it uses as much as digits as its factorization.

407728001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 407728001 is about 20192.2757756524. The cubic root of 407728001 is about 741.5210987186.

The spelling of 407728001 in words is "four hundred seven million, seven hundred twenty-eight thousand, one".