434393820 has 144 divisors (see below), whose sum is σ = 1572187680. Its totient is φ = 99283968.

The previous prime is 434393819. The next prime is 434393821. The reversal of 434393820 is 28393434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434393819) and next prime (434393821).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434393821) 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, 18252 + ... + 34668.

It is an arithmetic number, because the mean of its divisors is an integer number (10917970).

Almost surely, 2^434393820 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 434393820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786093840).

434393820 is an abundant number, since it is smaller than the sum of its proper divisors (1137793860).

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

434393820 is a wasteful number, since it uses less digits than its factorization.

434393820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16449 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 434393820 is about 20842.1164952123. The cubic root of 434393820 is about 757.3463662546.

The spelling of 434393820 in words is "four hundred thirty-four million, three hundred ninety-three thousand, eight hundred twenty".