413312240 has 40 divisors (see below), whose sum is σ = 1048312368. Its totient is φ = 150295040.

The previous prime is 413312209. The next prime is 413312261. The reversal of 413312240 is 42213314.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233957 + ... + 235716.

Almost surely, 2^413312240 is an apocalyptic number.

413312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413312240 is an abundant number, since it is smaller than the sum of its proper divisors (635000128).

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

413312240 is a wasteful number, since it uses less digits than its factorization.

413312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469697 (or 469691 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413312240 is about 20330.0821444479. The cubic root of 413312240 is about 744.8910490345.

Adding to 413312240 its reverse (42213314), we get a palindrome (455525554).

The spelling of 413312240 in words is "four hundred thirteen million, three hundred twelve thousand, two hundred forty".