505853700 has 288 divisors, whose sum is σ = 1727889408. Its totient is φ = 112896000.

The previous prime is 505853687. The next prime is 505853713. The reversal of 505853700 is 7358505.

It is an interprime number because it is at equal distance from previous prime (505853687) and next prime (505853713).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3983037 + ... + 3983163.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^505853700 is an apocalyptic number.

505853700 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 505853700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863944704).

505853700 is an abundant number, since it is smaller than the sum of its proper divisors (1222035708).

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

505853700 is a wasteful number, since it uses less digits than its factorization.

505853700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 505853700 is about 22491.1916091611. The cubic root of 505853700 is about 796.7859063792.

It can be divided in two parts, 50585 and 3700, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 505853700 in words is "five hundred five million, eight hundred fifty-three thousand, seven hundred".