406852617360 has 240 divisors, whose sum is σ = 1482289877376. Its totient is φ = 92035915776.

The previous prime is 406852617337. The next prime is 406852617373. The reversal of 406852617360 is 63716258604.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962389 + ... + 1319051.

Almost surely, 2^406852617360 is an apocalyptic number.

406852617360 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 406852617360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741144938688).

406852617360 is an abundant number, since it is smaller than the sum of its proper divisors (1075437260016).

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

406852617360 is a wasteful number, since it uses less digits than its factorization.

406852617360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356790 (or 356777 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 406852617360 in words is "four hundred six billion, eight hundred fifty-two million, six hundred seventeen thousand, three hundred sixty".