407340414 has 56 divisors (see below), whose sum is σ = 986611752. Its totient is φ = 125329680.

The previous prime is 407340413. The next prime is 407340481. The reversal of 407340414 is 414043704.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407340413) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8209 + ... + 29699.

It is an arithmetic number, because the mean of its divisors is an integer number (17618067).

Almost surely, 2^407340414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493305876).

407340414 is an abundant number, since it is smaller than the sum of its proper divisors (579271338).

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

407340414 is a wasteful number, since it uses less digits than its factorization.

407340414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21524 (or 21509 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 407340414 is about 20182.6760861884. The cubic root of 407340414 is about 741.2860604460.

The spelling of 407340414 in words is "four hundred seven million, three hundred forty thousand, four hundred fourteen".