434992000 has 128 divisors (see below), whose sum is σ = 1117658880. Its totient is φ = 168192000.

The previous prime is 434991983. The next prime is 434992013. The reversal of 434992000 is 299434.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 495562 + ... + 496438.

It is an arithmetic number, because the mean of its divisors is an integer number (8731710).

Almost surely, 2^434992000 is an apocalyptic number.

434992000 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 434992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558829440).

434992000 is an abundant number, since it is smaller than the sum of its proper divisors (682666880).

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

434992000 is an equidigital number, since it uses as much as digits as its factorization.

434992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 434992000 is about 20856.4618284118. The cubic root of 434992000 is about 757.6938402441.

The spelling of 434992000 in words is "four hundred thirty-four million, nine hundred ninety-two thousand".