1954450800 has 360 divisors, whose sum is σ = 7119211008. Its totient is φ = 495936000.

The previous prime is 1954450787. The next prime is 1954450801. The reversal of 1954450800 is 80544591.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954450801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9262695 + ... + 9262905.

Almost surely, 2^1954450800 is an apocalyptic number.

1954450800 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 1954450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559605504).

1954450800 is an abundant number, since it is smaller than the sum of its proper divisors (5164760208).

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

1954450800 is a wasteful number, since it uses less digits than its factorization.

1954450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1954450800 is about 44209.1709942632. The cubic root of 1954450800 is about 1250.2827733599.

The spelling of 1954450800 in words is "one billion, nine hundred fifty-four million, four hundred fifty thousand, eight hundred".