434531040 has 96 divisors (see below), whose sum is σ = 1387634976. Its totient is φ = 114278400.

The previous prime is 434531021. The next prime is 434531063. The reversal of 434531040 is 40135434.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 434531040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28840 + ... + 41240.

It is an arithmetic number, because the mean of its divisors is an integer number (14454531).

Almost surely, 2^434531040 is an apocalyptic number.

434531040 is a gapful number since it is divisible by the number (40) 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 434531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693817488).

434531040 is an abundant number, since it is smaller than the sum of its proper divisors (953103936).

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

434531040 is a wasteful number, since it uses less digits than its factorization.

434531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 434531040 is about 20845.4081274510. The cubic root of 434531040 is about 757.4261035213.

Adding to 434531040 its reverse (40135434), we get a palindrome (474666474).

The spelling of 434531040 in words is "four hundred thirty-four million, five hundred thirty-one thousand, forty".