413951340 has 96 divisors (see below), whose sum is σ = 1267789824. Its totient is φ = 100085760.

The previous prime is 413951333. The next prime is 413951357. The reversal of 413951340 is 43159314.

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 = 413951298 and 413951307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380277 + ... + 381363.

It is an arithmetic number, because the mean of its divisors is an integer number (13206144).

Almost surely, 2^413951340 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 413951340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633894912).

413951340 is an abundant number, since it is smaller than the sum of its proper divisors (853838484).

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

413951340 is a wasteful number, since it uses less digits than its factorization.

413951340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 413951340 is about 20345.7941599732. The cubic root of 413951340 is about 745.2747901537.

The spelling of 413951340 in words is "four hundred thirteen million, nine hundred fifty-one thousand, three hundred forty".