406610379 has 48 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 229990320.

The previous prime is 406610371. The next prime is 406610381. The reversal of 406610379 is 973016604.

406610379 is a `hidden beast` number, since 4 + 0 + 6 + 610 + 37 + 9 = 666.

It is not a de Polignac number, because 406610379 - 2³ = 406610371 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406610371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329694 + ... + 330924.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^406610379 is an apocalyptic number.

406610379 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

406610379 is a deficient number, since it is larger than the sum of its proper divisors (285280821).

406610379 is a wasteful number, since it uses less digits than its factorization.

406610379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 406610379 is about 20164.5822917312. The cubic root of 406610379 is about 740.8429516321.

The spelling of 406610379 in words is "four hundred six million, six hundred ten thousand, three hundred seventy-nine".