413015240 has 64 divisors (see below), whose sum is σ = 1018440000. Its totient is φ = 149495040.

The previous prime is 413015237. The next prime is 413015249. The reversal of 413015240 is 42510314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (413015249) 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, 98711 + ... + 102809.

It is an arithmetic number, because the mean of its divisors is an integer number (15913125).

Almost surely, 2^413015240 is an apocalyptic number.

413015240 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 413015240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509220000).

413015240 is an abundant number, since it is smaller than the sum of its proper divisors (605424760).

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

413015240 is a wasteful number, since it uses less digits than its factorization.

413015240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 413015240 is about 20322.7763851301. The cubic root of 413015240 is about 744.7125837543.

Adding to 413015240 its reverse (42510314), we get a palindrome (455525554).

The spelling of 413015240 in words is "four hundred thirteen million, fifteen thousand, two hundred forty".