434022000 has 80 divisors (see below), whose sum is σ = 1399306272. Its totient is φ = 115737600.

The previous prime is 434021993. The next prime is 434022107. The reversal of 434022000 is 220434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 30169 + ... + 42168.

Almost surely, 2^434022000 is an apocalyptic number.

434022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434022000 is an abundant number, since it is smaller than the sum of its proper divisors (965284272).

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

434022000 is a wasteful number, since it uses less digits than its factorization.

434022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72363 (or 72347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 434022000 is about 20833.1946662052. The cubic root of 434022000 is about 757.1302206777.

Adding to 434022000 its reverse (220434), we get a palindrome (434242434).

The spelling of 434022000 in words is "four hundred thirty-four million, twenty-two thousand".