220434504 has 32 divisors (see below), whose sum is σ = 580092000. Its totient is φ = 69610752.

The previous prime is 220434503. The next prime is 220434527. The reversal of 220434504 is 405434022.

It is a super-4 number, since 4×220434504⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (220434503) 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, 241249 + ... + 242160.

It is an arithmetic number, because the mean of its divisors is an integer number (18127875).

Almost surely, 2^220434504 is an apocalyptic number.

220434504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220434504 is an abundant number, since it is smaller than the sum of its proper divisors (359657496).

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

220434504 is a wasteful number, since it uses less digits than its factorization.

220434504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483437 (or 483433 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 220434504 is about 14847.0368760908. The cubic root of 220434504 is about 604.0782393568.

Adding to 220434504 its reverse (405434022), we get a palindrome (625868526).

The spelling of 220434504 in words is "two hundred twenty million, four hundred thirty-four thousand, five hundred four".