406845671520 has 1152 divisors, whose sum is σ = 1513087672320. Its totient is φ = 91530362880.

The previous prime is 406845671467. The next prime is 406845671563. The reversal of 406845671520 is 25176548604.

It is a super-2 number, since 2×406845671520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 406845671520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4571299636 + ... + 4571299724.

It is an arithmetic number, because the mean of its divisors is an integer number (1313444160).

Almost surely, 2^406845671520 is an apocalyptic number.

406845671520 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 406845671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756543836160).

406845671520 is an abundant number, since it is smaller than the sum of its proper divisors (1106242000800).

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

406845671520 is a wasteful number, since it uses less digits than its factorization.

406845671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 406845671520 in words is "four hundred six billion, eight hundred forty-five million, six hundred seventy-one thousand, five hundred twenty".