413213240 has 32 divisors (see below), whose sum is σ = 1014251760. Its totient is φ = 150259200.

The previous prime is 413213233. The next prime is 413213243. The reversal of 413213240 is 42312314.

It is a super-2 number, since 2×413213240² = 341490363422595200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413213243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469121 + ... + 470000.

Almost surely, 2^413213240 is an apocalyptic number.

413213240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413213240 is an abundant number, since it is smaller than the sum of its proper divisors (601038520).

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

413213240 is a wasteful number, since it uses less digits than its factorization.

413213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939143 (or 939139 counting only the distinct ones).

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

The square root of 413213240 is about 20327.6471830854. The cubic root of 413213240 is about 744.8315701100.

Adding to 413213240 its reverse (42312314), we get a palindrome (455525554).

The spelling of 413213240 in words is "four hundred thirteen million, two hundred thirteen thousand, two hundred forty".