1023464960 has 240 divisors, whose sum is σ = 2938874400. Its totient is φ = 340623360.

The previous prime is 1023464947. The next prime is 1023464977. The reversal of 1023464960 is 694643201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1023464960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5142941 + ... + 5143139.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^1023464960 is an apocalyptic number.

1023464960 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 1023464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469437200).

1023464960 is an abundant number, since it is smaller than the sum of its proper divisors (1915409440).

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

1023464960 is an equidigital number, since it uses as much as digits as its factorization.

1023464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1023464960 is about 31991.6389076896. The cubic root of 1023464960 is about 1007.7612603326.

The spelling of 1023464960 in words is "one billion, twenty-three million, four hundred sixty-four thousand, nine hundred sixty".