407378268 has 96 divisors (see below), whose sum is σ = 1161054720. Its totient is φ = 122497920.

The previous prime is 407378267. The next prime is 407378317. The reversal of 407378268 is 862873704.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407378263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161505 + ... + 164007.

It is an arithmetic number, because the mean of its divisors is an integer number (12094320).

Almost surely, 2^407378268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407378268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580527360).

407378268 is an abundant number, since it is smaller than the sum of its proper divisors (753676452).

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

407378268 is a wasteful number, since it uses less digits than its factorization.

407378268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 407378268 is about 20183.6138488626. The cubic root of 407378268 is about 741.3090222182.

The spelling of 407378268 in words is "four hundred seven million, three hundred seventy-eight thousand, two hundred sixty-eight".