400828107 has 8 divisors (see below), whose sum is σ = 557673984. Its totient is φ = 255600488.

The previous prime is 400828081. The next prime is 400828121. The reversal of 400828107 is 701828004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400828107 - 2⁷ = 400827979 is a prime.

It is a super-2 number, since 2×400828107² = 321326342722406898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400828147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2904483 + ... + 2904620.

It is an arithmetic number, because the mean of its divisors is an integer number (69709248).

Almost surely, 2^400828107 is an apocalyptic number.

400828107 is a deficient number, since it is larger than the sum of its proper divisors (156845877).

400828107 is a wasteful number, since it uses less digits than its factorization.

400828107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809129.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 400828107 is about 20020.6919710583. The cubic root of 400828107 is about 737.3144112923.

The spelling of 400828107 in words is "four hundred million, eight hundred twenty-eight thousand, one hundred seven".