400127007 has 32 divisors (see below), whose sum is σ = 632332800. Its totient is φ = 220203648.

The previous prime is 400126957. The next prime is 400127041. The reversal of 400127007 is 700721004.

It is not a de Polignac number, because 400127007 - 2⁷ = 400126879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400107007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400833 + ... + 401829.

It is an arithmetic number, because the mean of its divisors is an integer number (19760400).

Almost surely, 2^400127007 is an apocalyptic number.

400127007 is a deficient number, since it is larger than the sum of its proper divisors (232205793).

400127007 is a wasteful number, since it uses less digits than its factorization.

400127007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 400127007 is about 20003.1749229966. The cubic root of 400127007 is about 736.8842744406.

The spelling of 400127007 in words is "four hundred million, one hundred twenty-seven thousand, seven".