407380068 has 36 divisors (see below), whose sum is σ = 1030449420. Its totient is φ = 135703296.

The previous prime is 407380063. The next prime is 407380079. The reversal of 407380068 is 860083704.

It can be written as a sum of positive squares in 2 ways, for example, as 190937124 + 216442944 = 13818^2 + 14712^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (407380063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72496 + ... + 77912.

It is an arithmetic number, because the mean of its divisors is an integer number (28623595).

Almost surely, 2^407380068 is an apocalyptic number.

It is an amenable number.

407380068 is an abundant number, since it is smaller than the sum of its proper divisors (623069352).

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

407380068 is a wasteful number, since it uses less digits than its factorization.

407380068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 407380068 is about 20183.6584394406. The cubic root of 407380068 is about 741.3101140407.

The spelling of 407380068 in words is "four hundred seven million, three hundred eighty thousand, sixty-eight".