1020433400 has 48 divisors (see below), whose sum is σ = 2711441040. Its totient is φ = 349862400.

The previous prime is 1020433391. The next prime is 1020433409. The reversal of 1020433400 is 43340201.

It is an interprime number because it is at equal distance from previous prime (1020433391) and next prime (1020433409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020433409) 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 11 ways as a sum of consecutive naturals, for example, 363041 + ... + 365840.

It is an arithmetic number, because the mean of its divisors is an integer number (56488355).

Almost surely, 2^1020433400 is an apocalyptic number.

1020433400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020433400 is an abundant number, since it is smaller than the sum of its proper divisors (1691007640).

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

1020433400 is a wasteful number, since it uses less digits than its factorization.

1020433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728904 (or 728895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1020433400 is about 31944.2232649348. The cubic root of 1020433400 is about 1006.7652613595.

Adding to 1020433400 its reverse (43340201), we get a palindrome (1063773601).

The spelling of 1020433400 in words is "one billion, twenty million, four hundred thirty-three thousand, four hundred".