407798080 has 56 divisors (see below), whose sum is σ = 977374728. Its totient is φ = 162060288.

The previous prime is 407798063. The next prime is 407798099. The reversal of 407798080 is 80897704.

It can be written as a sum of positive squares in 4 ways, for example, as 77721856 + 330076224 = 8816^2 + 18168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46182 + ... + 54298.

Almost surely, 2^407798080 is an apocalyptic number.

407798080 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 407798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488687364).

407798080 is an abundant number, since it is smaller than the sum of its proper divisors (569576648).

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

407798080 is a wasteful number, since it uses less digits than its factorization.

407798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 407798080 is about 20194.0109933614. The cubic root of 407798080 is about 741.5635797190.

The spelling of 407798080 in words is "four hundred seven million, seven hundred ninety-eight thousand, eighty".