536278800 has 240 divisors, whose sum is σ = 1853730560. Its totient is φ = 132088320.

The previous prime is 536278783. The next prime is 536278807. The reversal of 536278800 is 8872635.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (536278807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980127 + ... + 980673.

Almost surely, 2^536278800 is an apocalyptic number.

536278800 is a gapful number since it is divisible by the number (50) 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 536278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926865280).

536278800 is an abundant number, since it is smaller than the sum of its proper divisors (1317451760).

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

536278800 is a wasteful number, since it uses less digits than its factorization.

536278800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 536278800 is about 23157.6941857345. The cubic root of 536278800 is about 812.4504364243.

The spelling of 536278800 in words is "five hundred thirty-six million, two hundred seventy-eight thousand, eight hundred".