405970546560 has 128 divisors (see below), whose sum is σ = 1297022297760. Its totient is φ = 108008570880.

The previous prime is 405970546559. The next prime is 405970546589. The reversal of 405970546560 is 65645079504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587200 + ... + 1075520.

Almost surely, 2^405970546560 is an apocalyptic number.

405970546560 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 405970546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648511148880).

405970546560 is an abundant number, since it is smaller than the sum of its proper divisors (891051751200).

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

405970546560 is a wasteful number, since it uses less digits than its factorization.

405970546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488776 (or 488764 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 405970546560 in words is "four hundred five billion, nine hundred seventy million, five hundred forty-six thousand, five hundred sixty".