406979100 has 288 divisors, whose sum is σ = 1454906880. Its totient is φ = 96768000.

The previous prime is 406979093. The next prime is 406979113. The reversal of 406979100 is 1979604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2108604 + ... + 2108796.

It is an arithmetic number, because the mean of its divisors is an integer number (5051760).

Almost surely, 2^406979100 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 406979100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727453440).

406979100 is an abundant number, since it is smaller than the sum of its proper divisors (1047927780).

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

406979100 is a wasteful number, since it uses less digits than its factorization.

406979100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 406979100 is about 20173.7230079130. The cubic root of 406979100 is about 741.0668201802.

The spelling of 406979100 in words is "four hundred six million, nine hundred seventy-nine thousand, one hundred".