53417800 has 48 divisors (see below), whose sum is σ = 125633700. Its totient is φ = 21120000.

The previous prime is 53417737. The next prime is 53417809. The reversal of 53417800 is 871435.

53417800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12124324 + 41293476 = 3482^2 + 6426^2 .

It is a super-2 number, since 2×53417800² = 5706922713680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53417809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16300 + ... + 19300.

Almost surely, 2^53417800 is an apocalyptic number.

53417800 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 53417800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62816850).

53417800 is an abundant number, since it is smaller than the sum of its proper divisors (72215900).

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

53417800 is a wasteful number, since it uses less digits than its factorization.

53417800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 53417800 is about 7308.7481828286. The cubic root of 53417800 is about 376.6130221809.

It can be divided in two parts, 5 and 3417800, that added together give a triangular number (3417805 = T₂₆₁₄).

The spelling of 53417800 in words is "fifty-three million, four hundred seventeen thousand, eight hundred".