1461227040 has 864 divisors, whose sum is σ = 6587904960. Its totient is φ = 303077376.

The previous prime is 1461227017. The next prime is 1461227059. The reversal of 1461227040 is 407221641.

1461227040 = 4³ + 5³ + ... + 276³.

1461227040 is a `hidden beast` number, since 1 + 4 + 612 + 2 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1461226995 and 1461227013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766531 + ... + 24766589.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^1461227040 is an apocalyptic number.

1461227040 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 1461227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293952480).

1461227040 is an abundant number, since it is smaller than the sum of its proper divisors (5126677920).

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

1461227040 is a wasteful number, since it uses less digits than its factorization.

1461227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

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

The square root of 1461227040 is about 38225.9995291163. Note that the first 3 decimals coincide. The cubic root of 1461227040 is about 1134.7649160246.

Adding to 1461227040 its reverse (407221641), we get a palindrome (1868448681).

The spelling of 1461227040 in words is "one billion, four hundred sixty-one million, two hundred twenty-seven thousand, forty".