1205424432 has 120 divisors (see below), whose sum is σ = 3432818480. Its totient is φ = 394813440.

The previous prime is 1205424431. The next prime is 1205424497. The reversal of 1205424432 is 2344245021.

1205424432 is a `hidden beast` number, since 1 + 205 + 4 + 24 + 432 = 666.

It is a super-2 number, since 2×1205424432² = 2906096122525045248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205424396 and 1205424405.

It is not an unprimeable number, because it can be changed into a prime (1205424431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2947044 + ... + 2947452.

Almost surely, 2^1205424432 is an apocalyptic number.

1205424432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716409240).

1205424432 is an abundant number, since it is smaller than the sum of its proper divisors (2227394048).

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

1205424432 is a wasteful number, since it uses less digits than its factorization.

1205424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1205424432 is about 34719.2228023612. Note that the first 3 decimals coincide. The cubic root of 1205424432 is about 1064.2573623202.

Adding to 1205424432 its reverse (2344245021), we get a palindrome (3549669453).

The spelling of 1205424432 in words is "one billion, two hundred five million, four hundred twenty-four thousand, four hundred thirty-two".