406100720 has 40 divisors (see below), whose sum is σ = 946613520. Its totient is φ = 162022400.

The previous prime is 406100707. The next prime is 406100749. The reversal of 406100720 is 27001604.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 406100692 and 406100701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25751 + ... + 38409.

It is an arithmetic number, because the mean of its divisors is an integer number (23665338).

Almost surely, 2^406100720 is an apocalyptic number.

406100720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406100720 is an abundant number, since it is smaller than the sum of its proper divisors (540512800).

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

406100720 is a wasteful number, since it uses less digits than its factorization.

406100720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 406100720 is about 20151.9408494567. The cubic root of 406100720 is about 740.5332898008.

The spelling of 406100720 in words is "four hundred six million, one hundred thousand, seven hundred twenty".