400007057 has 8 divisors (see below), whose sum is σ = 421301760. Its totient is φ = 378736560.

The previous prime is 400007021. The next prime is 400007071. The reversal of 400007057 is 750700004.

It is a happy number.

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 400007057 - 2¹⁴ = 399990673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400007087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35123 + ... + 45095.

It is an arithmetic number, because the mean of its divisors is an integer number (52662720).

Almost surely, 2^400007057 is an apocalyptic number.

It is an amenable number.

400007057 is a deficient number, since it is larger than the sum of its proper divisors (21294703).

400007057 is a wasteful number, since it uses less digits than its factorization.

400007057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 400007057 is about 20000.1764242219. The cubic root of 400007057 is about 736.8106327376.

The spelling of 400007057 in words is "four hundred million, seven thousand, fifty-seven".