1000302420 has 192 divisors, whose sum is σ = 3192698880. Its totient is φ = 232243200.

The previous prime is 1000302409. The next prime is 1000302439. The reversal of 1000302420 is 242030001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000302396 and 1000302405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990876 + ... + 991884.

It is an arithmetic number, because the mean of its divisors is an integer number (16628640).

Almost surely, 2^1000302420 is an apocalyptic number.

1000302420 is a gapful number since it is divisible by the number (10) 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 1000302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596349440).

1000302420 is an abundant number, since it is smaller than the sum of its proper divisors (2192396460).

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

1000302420 is a wasteful number, since it uses less digits than its factorization.

1000302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000302420 is about 31627.5579202695. The cubic root of 1000302420 is about 1000.1007965064.

Adding to 1000302420 its reverse (242030001), we get a palindrome (1242332421).

The spelling of 1000302420 in words is "one billion, three hundred two thousand, four hundred twenty".