1461790368 has 96 divisors (see below), whose sum is σ = 4401169920. Its totient is φ = 471536640.

The previous prime is 1461790349. The next prime is 1461790391. The reversal of 1461790368 is 8630971641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505 + ... + 54072.

It is an arithmetic number, because the mean of its divisors is an integer number (45845520).

Almost surely, 2^1461790368 is an apocalyptic number.

1461790368 is a gapful number since it is divisible by the number (18) 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 1461790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200584960).

1461790368 is an abundant number, since it is smaller than the sum of its proper divisors (2939379552).

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

1461790368 is a wasteful number, since it uses less digits than its factorization.

1461790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54627 (or 54613 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1461790368 is about 38233.3672071922. The cubic root of 1461790368 is about 1134.9107210465.

The spelling of 1461790368 in words is "one billion, four hundred sixty-one million, seven hundred ninety thousand, three hundred sixty-eight".