413233220 has 24 divisors (see below), whose sum is σ = 880744704. Its totient is φ = 162825696.

The previous prime is 413233211. The next prime is 413233241. The reversal of 413233220 is 22332314.

It is a super-2 number, since 2×413233220² = 341523388223136800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 413233192 and 413233201.

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, 152852 + ... + 155531.

It is an arithmetic number, because the mean of its divisors is an integer number (36697696).

Almost surely, 2^413233220 is an apocalyptic number.

It is an amenable number.

413233220 is an abundant number, since it is smaller than the sum of its proper divisors (467511484).

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

413233220 is a wasteful number, since it uses less digits than its factorization.

413233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308459 (or 308457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 413233220 is about 20328.1386260523. The cubic root of 413233220 is about 744.8435748035.

Adding to 413233220 its reverse (22332314), we get a palindrome (435565534).

The spelling of 413233220 in words is "four hundred thirteen million, two hundred thirty-three thousand, two hundred twenty".