401106507 has 16 divisors (see below), whose sum is σ = 546849792. Its totient is φ = 261397760.

The previous prime is 401106493. The next prime is 401106521. The reversal of 401106507 is 705601104.

It is an interprime number because it is at equal distance from previous prime (401106493) and next prime (401106521).

It is a cyclic number.

It is not a de Polignac number, because 401106507 - 2⁶ = 401106443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401106527) 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, 191707 + ... + 193787.

It is an arithmetic number, because the mean of its divisors is an integer number (34178112).

Almost surely, 2^401106507 is an apocalyptic number.

401106507 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

401106507 is a deficient number, since it is larger than the sum of its proper divisors (145743285).

401106507 is a wasteful number, since it uses less digits than its factorization.

401106507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 401106507 is about 20027.6435708248. The cubic root of 401106507 is about 737.4850753276.

The spelling of 401106507 in words is "four hundred one million, one hundred six thousand, five hundred seven".