1955272800 has 288 divisors, whose sum is σ = 7093608480. Its totient is φ = 464486400.

The previous prime is 1955272789. The next prime is 1955272817. The reversal of 1955272800 is 82725591.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903720 + ... + 905880.

It is an arithmetic number, because the mean of its divisors is an integer number (24630585).

Almost surely, 2^1955272800 is an apocalyptic number.

1955272800 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 1955272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546804240).

1955272800 is an abundant number, since it is smaller than the sum of its proper divisors (5138335680).

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

1955272800 is a wasteful number, since it uses less digits than its factorization.

1955272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1955272800 is about 44218.4667305414. The cubic root of 1955272800 is about 1250.4580294800.

The spelling of 1955272800 in words is "one billion, nine hundred fifty-five million, two hundred seventy-two thousand, eight hundred".