407412378 has 48 divisors (see below), whose sum is σ = 952324776. Its totient is φ = 125399040.

The previous prime is 407412377. The next prime is 407412427. The reversal of 407412378 is 873214704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 397882809 + 9529569 = 19947^2 + 3087^2 .

It is a super-2 number, since 2×407412378² = 331969691495229768, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407412373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3658 + ... + 28778.

Almost surely, 2^407412378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407412378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476162388).

407412378 is an abundant number, since it is smaller than the sum of its proper divisors (544912398).

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

407412378 is a wasteful number, since it uses less digits than its factorization.

407412378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25199 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 407412378 is about 20184.4588235603. The cubic root of 407412378 is about 741.3297117075.

The spelling of 407412378 in words is "four hundred seven million, four hundred twelve thousand, three hundred seventy-eight".