406057020 has 48 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 108183616.

The previous prime is 406056997. The next prime is 406057021. The reversal of 406057020 is 20750604.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406057021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83989 + ... + 88691.

It is an arithmetic number, because the mean of its divisors is an integer number (23708160).

Almost surely, 2^406057020 is an apocalyptic number.

It is an amenable number.

406057020 is an abundant number, since it is smaller than the sum of its proper divisors (731934660).

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

406057020 is a wasteful number, since it uses less digits than its factorization.

406057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 406057020 is about 20150.8565574767. The cubic root of 406057020 is about 740.5067262218.

The spelling of 406057020 in words is "four hundred six million, fifty-seven thousand, twenty".