434288052 has 144 divisors (see below), whose sum is σ = 1309561344. Its totient is φ = 119808000.

The previous prime is 434287999. The next prime is 434288059. The reversal of 434288052 is 250882434.

It is a super-2 number, since 2×434288052² = 377212224219909408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434287998 and 434288016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434288059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207652 + ... + 209732.

It is an arithmetic number, because the mean of its divisors is an integer number (9094176).

Almost surely, 2^434288052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434288052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654780672).

434288052 is an abundant number, since it is smaller than the sum of its proper divisors (875273292).

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

434288052 is a wasteful number, since it uses less digits than its factorization.

434288052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 434288052 is about 20839.5789784727. The cubic root of 434288052 is about 757.2848939923.

The spelling of 434288052 in words is "four hundred thirty-four million, two hundred eighty-eight thousand, fifty-two".