406677348 has 120 divisors (see below), whose sum is σ = 1325548224. Its totient is φ = 105624000.

The previous prime is 406677347. The next prime is 406677367. The reversal of 406677348 is 843776604.

It is not an unprimeable number, because it can be changed into a prime (406677347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16798 + ... + 33098.

Almost surely, 2^406677348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406677348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662774112).

406677348 is an abundant number, since it is smaller than the sum of its proper divisors (918870876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406677348 is a wasteful number, since it uses less digits than its factorization.

406677348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 406677348 is about 20166.2427834240. The cubic root of 406677348 is about 740.8836218418.

The spelling of 406677348 in words is "four hundred six million, six hundred seventy-seven thousand, three hundred forty-eight".