406993680 has 320 divisors, whose sum is σ = 1514188800. Its totient is φ = 100154880.

The previous prime is 406993669. The next prime is 406993721. The reversal of 406993680 is 86399604.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1928775 + ... + 1928985.

It is an arithmetic number, because the mean of its divisors is an integer number (4731840).

Almost surely, 2^406993680 is an apocalyptic number.

406993680 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 406993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757094400).

406993680 is an abundant number, since it is smaller than the sum of its proper divisors (1107195120).

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

406993680 is a wasteful number, since it uses less digits than its factorization.

406993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 406993680 is about 20174.0843658393. The cubic root of 406993680 is about 741.0756696316.

The spelling of 406993680 in words is "four hundred six million, nine hundred ninety-three thousand, six hundred eighty".