414540640 has 96 divisors (see below), whose sum is σ = 1014884640. Its totient is φ = 159903744.

The previous prime is 414540589. The next prime is 414540641. The reversal of 414540640 is 46045414.

It is a junction number, because it is equal to n+sod(n) for n = 414540599 and 414540608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414540641) 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 15 ways as a sum of consecutive naturals, for example, 611982 + ... + 612658.

It is an arithmetic number, because the mean of its divisors is an integer number (10571715).

Almost surely, 2^414540640 is an apocalyptic number.

414540640 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 414540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507442320).

414540640 is an abundant number, since it is smaller than the sum of its proper divisors (600344000).

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

414540640 is a wasteful number, since it uses less digits than its factorization.

414540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 414540640 is about 20360.2711180377. The cubic root of 414540640 is about 745.6282795183.

The spelling of 414540640 in words is "four hundred fourteen million, five hundred forty thousand, six hundred forty".