406760020 has 48 divisors (see below), whose sum is σ = 906102288. Its totient is φ = 152852480.

The previous prime is 406759963. The next prime is 406760069. The reversal of 406760020 is 20067604.

It can be written as a sum of positive squares in 8 ways, for example, as 898704 + 405861316 = 948^2 + 20146^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343830 + ... + 345010.

It is an arithmetic number, because the mean of its divisors is an integer number (18877131).

Almost surely, 2^406760020 is an apocalyptic number.

It is an amenable number.

406760020 is an abundant number, since it is smaller than the sum of its proper divisors (499342268).

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

406760020 is a wasteful number, since it uses less digits than its factorization.

406760020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 406760020 is about 20168.2924413546. The cubic root of 406760020 is about 740.9338223108.

The spelling of 406760020 in words is "four hundred six million, seven hundred sixty thousand, twenty".