1023430464 has 504 divisors, whose sum is σ = 3794394240. Its totient is φ = 271724544.

The previous prime is 1023430453. The next prime is 1023430469. The reversal of 1023430464 is 4640343201.

It is a tau number, because it is divible by the number of its divisors (504).

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 (1023430469) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12954777 + ... + 12954855.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^1023430464 is an apocalyptic number.

1023430464 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 1023430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

1023430464 is an abundant number, since it is smaller than the sum of its proper divisors (2770963776).

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

1023430464 is an equidigital number, since it uses as much as digits as its factorization.

1023430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1023430464 is about 31991.0997622776. The cubic root of 1023430464 is about 1007.7499379704.

Adding to 1023430464 its reverse (4640343201), we get a palindrome (5663773665).

The spelling of 1023430464 in words is "one billion, twenty-three million, four hundred thirty thousand, four hundred sixty-four".