1020905424 has 320 divisors, whose sum is σ = 3736903680. Its totient is φ = 259130880.

The previous prime is 1020905419. The next prime is 1020905429. The reversal of 1020905424 is 4245090201.

1020905424 is a `hidden beast` number, since 10 + 20 + 90 + 542 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1020905419) and next prime (1020905429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020905429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1563082 + ... + 1563734.

It is an arithmetic number, because the mean of its divisors is an integer number (11677824).

Almost surely, 2^1020905424 is an apocalyptic number.

1020905424 is a gapful number since it is divisible by the number (14) 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 1020905424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868451840).

1020905424 is an abundant number, since it is smaller than the sum of its proper divisors (2715998256).

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

1020905424 is a wasteful number, since it uses less digits than its factorization.

1020905424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1020905424 is about 31951.6106636270. The cubic root of 1020905424 is about 1006.9204712636.

Adding to 1020905424 its reverse (4245090201), we get a palindrome (5265995625).

The spelling of 1020905424 in words is "one billion, twenty million, nine hundred five thousand, four hundred twenty-four".