406442900520 has 64 divisors (see below), whose sum is σ = 1354809672000. Its totient is φ = 108384773184.

The previous prime is 406442900497. The next prime is 406442900531. The reversal of 406442900520 is 25009244604.

406442900520 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 42 + 90 + 0 + 520 = 666.

It is a super-2 number, since 2×406442900520² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188166930 + ... + 188169089.

It is an arithmetic number, because the mean of its divisors is an integer number (21168901125).

Almost surely, 2^406442900520 is an apocalyptic number.

406442900520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406442900520 is an abundant number, since it is smaller than the sum of its proper divisors (948366771480).

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

406442900520 is a wasteful number, since it uses less digits than its factorization.

406442900520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376336039 (or 376336029 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 406442900520 in words is "four hundred six billion, four hundred forty-two million, nine hundred thousand, five hundred twenty".