1023645480 has 512 divisors, whose sum is σ = 3984422400. Its totient is φ = 208158720.

The previous prime is 1023645479. The next prime is 1023645481. The reversal of 1023645480 is 845463201.

It is an interprime number because it is at equal distance from previous prime (1023645479) and next prime (1023645481).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023645481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35298106 + ... + 35298134.

It is an arithmetic number, because the mean of its divisors is an integer number (7782075).

Almost surely, 2^1023645480 is an apocalyptic number.

1023645480 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 1023645480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992211200).

1023645480 is an abundant number, since it is smaller than the sum of its proper divisors (2960776920).

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

1023645480 is a wasteful number, since it uses less digits than its factorization.

1023645480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1023645480 is about 31994.4601454689. The cubic root of 1023645480 is about 1007.8205069035.

The spelling of 1023645480 in words is "one billion, twenty-three million, six hundred forty-five thousand, four hundred eighty".