434931840 has 576 divisors, whose sum is σ = 1850247360. Its totient is φ = 93671424.

The previous prime is 434931839. The next prime is 434931851. The reversal of 434931840 is 48139434.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 434931795 and 434931804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6491487 + ... + 6491553.

It is an arithmetic number, because the mean of its divisors is an integer number (3212235).

Almost surely, 2^434931840 is an apocalyptic number.

434931840 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 434931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925123680).

434931840 is an abundant number, since it is smaller than the sum of its proper divisors (1415315520).

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

434931840 is a wasteful number, since it uses less digits than its factorization.

434931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 434931840 is about 20855.0195396696. The cubic root of 434931840 is about 757.6589085956.

The spelling of 434931840 in words is "four hundred thirty-four million, nine hundred thirty-one thousand, eight hundred forty".