1945923000 has 256 divisors, whose sum is σ = 7305292800. Its totient is φ = 421286400.

The previous prime is 1945922959. The next prime is 1945923011. The reversal of 1945923000 is 3295491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396562 + ... + 401438.

It is an arithmetic number, because the mean of its divisors is an integer number (28536300).

Almost surely, 2^1945923000 is an apocalyptic number.

1945923000 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 1945923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652646400).

1945923000 is an abundant number, since it is smaller than the sum of its proper divisors (5359369800).

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

1945923000 is a wasteful number, since it uses less digits than its factorization.

1945923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1945923000 is about 44112.6172426892. The cubic root of 1945923000 is about 1248.4616809696.

The spelling of 1945923000 in words is "one billion, nine hundred forty-five million, nine hundred twenty-three thousand".