1011386480 has 80 divisors (see below), whose sum is σ = 2568210624. Its totient is φ = 368148480.

The previous prime is 1011386479. The next prime is 1011386489. The reversal of 1011386480 is 846831101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1011386480² = 2045805223853580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011386489) 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 15 ways as a sum of consecutive naturals, for example, 66992 + ... + 80688.

Almost surely, 2^1011386480 is an apocalyptic number.

1011386480 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 1011386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284105312).

1011386480 is an abundant number, since it is smaller than the sum of its proper divisors (1556824144).

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

1011386480 is a wasteful number, since it uses less digits than its factorization.

1011386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1011386480 is about 31802.3030612564. The cubic root of 1011386480 is about 1003.7811780060.

The spelling of 1011386480 in words is "one billion, eleven million, three hundred eighty-six thousand, four hundred eighty".