1140486480 has 720 divisors, whose sum is σ = 4988430720. Its totient is φ = 236888064.

The previous prime is 1140486407. The next prime is 1140486481. The reversal of 1140486480 is 846840411.

1140486480 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 8 + 648 + 0 = 666.

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

It is a super-2 number, since 2×1140486480² = 2601418822125580800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140486481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39327106 + ... + 39327134.

It is an arithmetic number, because the mean of its divisors is an integer number (6928376).

Almost surely, 2^1140486480 is an apocalyptic number.

1140486480 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 1140486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494215360).

1140486480 is an abundant number, since it is smaller than the sum of its proper divisors (3847944240).

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

1140486480 is a wasteful number, since it uses less digits than its factorization.

1140486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1140486480 is about 33771.0894109148. The cubic root of 1140486480 is about 1044.7925017070.

The spelling of 1140486480 in words is "one billion, one hundred forty million, four hundred eighty-six thousand, four hundred eighty".