414761340 has 96 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 94611456.

The previous prime is 414761329. The next prime is 414761341. The reversal of 414761340 is 43167414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 414761298 and 414761307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414761341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389649 + ... + 390711.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^414761340 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 414761340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

414761340 is an abundant number, since it is smaller than the sum of its proper divisors (915153540).

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

414761340 is a wasteful number, since it uses less digits than its factorization.

414761340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 414761340 is about 20365.6902657386. The cubic root of 414761340 is about 745.7605793463.

The spelling of 414761340 in words is "four hundred fourteen million, seven hundred sixty-one thousand, three hundred forty".