401162667 has 16 divisors (see below), whose sum is σ = 543257088. Its totient is φ = 263269440.

The previous prime is 401162633. The next prime is 401162677. The reversal of 401162667 is 766261104.

It is not a de Polignac number, because 401162667 - 2¹⁰ = 401161643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401162627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136738 + ... + 139640.

It is an arithmetic number, because the mean of its divisors is an integer number (33953568).

Almost surely, 2^401162667 is an apocalyptic number.

401162667 is a deficient number, since it is larger than the sum of its proper divisors (142094421).

401162667 is a wasteful number, since it uses less digits than its factorization.

401162667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 401162667 is about 20029.0455838515. The cubic root of 401162667 is about 737.5194928105.

The spelling of 401162667 in words is "four hundred one million, one hundred sixty-two thousand, six hundred sixty-seven".