1461153876 has 192 divisors, whose sum is σ = 4588093440. Its totient is φ = 350853120.

The previous prime is 1461153871. The next prime is 1461153917. The reversal of 1461153876 is 6783511641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461153871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574215 + ... + 576753.

It is an arithmetic number, because the mean of its divisors is an integer number (23896320).

Almost surely, 2^1461153876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461153876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

1461153876 is an abundant number, since it is smaller than the sum of its proper divisors (3126939564).

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

1461153876 is a wasteful number, since it uses less digits than its factorization.

1461153876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2612 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 1461153876 is about 38225.0425245022. The cubic root of 1461153876 is about 1134.7459763883.

The spelling of 1461153876 in words is "one billion, four hundred sixty-one million, one hundred fifty-three thousand, eight hundred seventy-six".