1461267808 has 288 divisors, whose sum is σ = 4150621440. Its totient is φ = 497871360.

The previous prime is 1461267799. The next prime is 1461267833. The reversal of 1461267808 is 8087621641.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76908823 + ... + 76908841.

It is an arithmetic number, because the mean of its divisors is an integer number (14411880).

Almost surely, 2^1461267808 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 1461267808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075310720).

1461267808 is an abundant number, since it is smaller than the sum of its proper divisors (2689353632).

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

1461267808 is an equidigital number, since it uses as much as digits as its factorization.

1461267808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 1461267808 is about 38226.5327750242. The cubic root of 1461267808 is about 1134.7754691795.

The spelling of 1461267808 in words is "one billion, four hundred sixty-one million, two hundred sixty-seven thousand, eight hundred eight".