406640520 has 256 divisors, whose sum is σ = 1593043200. Its totient is φ = 90961920.

The previous prime is 406640513. The next prime is 406640537. The reversal of 406640520 is 25046604.

It is a happy number.

406640520 is a `hidden beast` number, since 40 + 66 + 40 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153124 + ... + 155756.

It is an arithmetic number, because the mean of its divisors is an integer number (6222825).

Almost surely, 2^406640520 is an apocalyptic number.

406640520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796521600).

406640520 is an abundant number, since it is smaller than the sum of its proper divisors (1186402680).

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

406640520 is a wasteful number, since it uses less digits than its factorization.

406640520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 406640520 is about 20165.3296526489. The cubic root of 406640520 is about 740.8612567852.

The spelling of 406640520 in words is "four hundred six million, six hundred forty thousand, five hundred twenty".