920430 has 64 divisors (see below), whose sum is σ = 2810880. Its totient is φ = 209952.

The previous prime is 920419. The next prime is 920441. The reversal of 920430 is 34029.

It is an interprime number because it is at equal distance from previous prime (920419) and next prime (920441).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

920430 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 1647 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (43920).

2⁹²⁰⁴³⁰ is an apocalyptic number.

920430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405440).

920430 is an abundant number, since it is smaller than the sum of its proper divisors (1890450).

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

920430 is a wasteful number, since it uses less digits than its factorization.

920430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 920430 is about 959.3904314720. The cubic root of 920430 is about 97.2740329138.

Adding to 920430 its reverse (34029), we get a palindrome (954459).

The spelling of 920430 in words is "nine hundred twenty thousand, four hundred thirty".