1030740480 has 720 divisors, whose sum is σ = 4584644064. Its totient is φ = 211599360.

The previous prime is 1030740457. The next prime is 1030740493. The reversal of 1030740480 is 840470301.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1030740480² = 2124851874221260800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418519 + ... + 12418601.

Almost surely, 2^1030740480 is an apocalyptic number.

1030740480 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 1030740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1030740480 is an abundant number, since it is smaller than the sum of its proper divisors (3553903584).

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

1030740480 is a wasteful number, since it uses less digits than its factorization.

1030740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1030740480 is about 32105.1472508693. The cubic root of 1030740480 is about 1010.1435864220.

The spelling of 1030740480 in words is "one billion, thirty million, seven hundred forty thousand, four hundred eighty".