434769552 has 480 divisors, whose sum is σ = 1628467200. Its totient is φ = 110170368.

The previous prime is 434769551. The next prime is 434769563. The reversal of 434769552 is 255967434.

434769552 is a `hidden beast` number, since 4 + 34 + 7 + 69 + 552 = 666.

Its product of digits (907200) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 434769498 and 434769507.

It is not an unprimeable number, because it can be changed into a prime (434769551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9250393 + ... + 9250439.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^434769552 is an apocalyptic number.

434769552 is a gapful number since it is divisible by the number (42) 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 434769552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

434769552 is an abundant number, since it is smaller than the sum of its proper divisors (1193697648).

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

434769552 is a wasteful number, since it uses less digits than its factorization.

434769552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 434769552 is about 20851.1283147939. The cubic root of 434769552 is about 757.5646606896.

It can be divided in two parts, 4347 and 69552, that multiplied together give a square (302342544 = 17388²).

The spelling of 434769552 in words is "four hundred thirty-four million, seven hundred sixty-nine thousand, five hundred fifty-two".