1945464456 has 96 divisors (see below), whose sum is σ = 5292272160. Its totient is φ = 595685376.

The previous prime is 1945464337. The next prime is 1945464491. The reversal of 1945464456 is 6544645491.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919656 + ... + 921768.

It is an arithmetic number, because the mean of its divisors is an integer number (55127835).

Almost surely, 2^1945464456 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 1945464456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646136080).

1945464456 is an abundant number, since it is smaller than the sum of its proper divisors (3346807704).

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

1945464456 is a wasteful number, since it uses less digits than its factorization.

1945464456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2358 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 1945464456 is about 44107.4195119143. The cubic root of 1945464456 is about 1248.3636093286.

The spelling of 1945464456 in words is "one billion, nine hundred forty-five million, four hundred sixty-four thousand, four hundred fifty-six".