53802000 has 360 divisors, whose sum is σ = 222175512. Its totient is φ = 12096000.

The previous prime is 53801983. The next prime is 53802017. The reversal of 53802000 is 20835.

It is an interprime number because it is at equal distance from previous prime (53801983) and next prime (53802017).

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 40755456 = 3612^2 + 6384^2 .

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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881970 + ... + 882030.

Almost surely, 2^53802000 is an apocalyptic number.

53802000 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 53802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111087756).

53802000 is an abundant number, since it is smaller than the sum of its proper divisors (168373512).

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

53802000 is a wasteful number, since it uses less digits than its factorization.

53802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53802000 is about 7334.9846625607. The cubic root of 53802000 is about 377.5137781326.

Adding to 53802000 its reverse (20835), we get a palindrome (53822835).

The spelling of 53802000 in words is "fifty-three million, eight hundred two thousand".