930414420 has 288 divisors, whose sum is σ = 3390266880. Its totient is φ = 204042240.

The previous prime is 930414383. The next prime is 930414421. The reversal of 930414420 is 24414039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930414421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755205 + ... + 756435.

It is an arithmetic number, because the mean of its divisors is an integer number (11771760).

Almost surely, 2^930414420 is an apocalyptic number.

930414420 is a gapful number since it is divisible by the number (90) 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 930414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695133440).

930414420 is an abundant number, since it is smaller than the sum of its proper divisors (2459852460).

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

930414420 is a wasteful number, since it uses less digits than its factorization.

930414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 930414420 is about 30502.6952907444. The cubic root of 930414420 is about 976.2449737238.

Adding to 930414420 its reverse (24414039), we get a palindrome (954828459).

It can be divided in two parts, 93041 and 4420, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 930414420 in words is "nine hundred thirty million, four hundred fourteen thousand, four hundred twenty".