1945506400 has 72 divisors (see below), whose sum is σ = 4760320320. Its totient is φ = 776424960.

The previous prime is 1945506397. The next prime is 1945506419. The reversal of 1945506400 is 46055491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380662 + ... + 385738.

It is an arithmetic number, because the mean of its divisors is an integer number (66115560).

Almost surely, 2^1945506400 is an apocalyptic number.

1945506400 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 1945506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380160160).

1945506400 is an abundant number, since it is smaller than the sum of its proper divisors (2814813920).

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

1945506400 is a wasteful number, since it uses less digits than its factorization.

1945506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1945506400 is about 44107.8949849117. The cubic root of 1945506400 is about 1248.3725807916.

The spelling of 1945506400 in words is "one billion, nine hundred forty-five million, five hundred six thousand, four hundred".