4129224 has 32 divisors (see below), whose sum is σ = 11262240. Its totient is φ = 1251200.

The previous prime is 4129199. The next prime is 4129241. The reversal of 4129224 is 4229214.

4129224 = 57² + 58² + ... + 232².

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4129194 and 4129203.

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, 7557 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (351945).

Almost surely, 2^4129224 is an apocalyptic number.

4129224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4129224 is an abundant number, since it is smaller than the sum of its proper divisors (7133016).

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

4129224 is a wasteful number, since it uses less digits than its factorization.

4129224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15661 (or 15657 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4129224 is about 2032.0492120025. The cubic root of 4129224 is about 160.4314397444.

The spelling of 4129224 in words is "four million, one hundred twenty-nine thousand, two hundred twenty-four".