401006377 has 8 divisors (see below), whose sum is σ = 405233064. Its totient is φ = 396791808.

The previous prime is 401006371. The next prime is 401006383. The reversal of 401006377 is 773600104.

It is an interprime number because it is at equal distance from previous prime (401006371) and next prime (401006383).

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 400760361 = 496^2 + 20019^2 .

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 401006377 - 2³ = 401006369 is a prime.

It is a super-2 number, since 2×401006377² = 321612228789332258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401006371) 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, 73413 + ... + 78685.

It is an arithmetic number, because the mean of its divisors is an integer number (50654133).

Almost surely, 2^401006377 is an apocalyptic number.

It is an amenable number.

401006377 is a deficient number, since it is larger than the sum of its proper divisors (4226687).

401006377 is a wasteful number, since it uses less digits than its factorization.

401006377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 401006377 is about 20025.1436199594. The cubic root of 401006377 is about 737.4237029948.

The spelling of 401006377 in words is "four hundred one million, six thousand, three hundred seventy-seven".