406797780480 has 800 divisors, whose sum is σ = 1634804053344. Its totient is φ = 85779283968.

The previous prime is 406797780469. The next prime is 406797780509. The reversal of 406797780480 is 84087797604.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 239714992 + ... + 239716688.

Almost surely, 2^406797780480 is an apocalyptic number.

406797780480 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 406797780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817402026672).

406797780480 is an abundant number, since it is smaller than the sum of its proper divisors (1228006272864).

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

406797780480 is an equidigital number, since it uses as much as digits as its factorization.

406797780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 406797780480 in words is "four hundred six billion, seven hundred ninety-seven million, seven hundred eighty thousand, four hundred eighty".