1020465792 has 48 divisors (see below), whose sum is σ = 2936499930. Its totient is φ = 340154880.

The previous prime is 1020465791. The next prime is 1020465793. The reversal of 1020465792 is 2975640201.

1020465792 is a `hidden beast` number, since 102 + 0 + 465 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (1020465791) and next prime (1020465793).

It can be written as a sum of positive squares in only one way, i.e., 1020419136 + 46656 = 31944^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1020465791) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 441759 + ... + 444062.

Almost surely, 2^1020465792 is an apocalyptic number.

1020465792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020465792 is an abundant number, since it is smaller than the sum of its proper divisors (1916034138).

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

1020465792 is an equidigital number, since it uses as much as digits as its factorization.

1020465792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885841 (or 885826 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1020465792 is about 31944.7302696392. The cubic root of 1020465792 is about 1006.7759139559.

The spelling of 1020465792 in words is "one billion, twenty million, four hundred sixty-five thousand, seven hundred ninety-two".