201484800 has 480 divisors, whose sum is σ = 822000960. Its totient is φ = 47923200.

The previous prime is 201484781. The next prime is 201484819. The reversal of 201484800 is 8484102.

It is an interprime number because it is at equal distance from previous prime (201484781) and next prime (201484819).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×201484800² = 81192249262080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801574 + ... + 3801626.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^201484800 is an apocalyptic number.

201484800 is a gapful number since it is divisible by the number (20) 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 201484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411000480).

201484800 is an abundant number, since it is smaller than the sum of its proper divisors (620516160).

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

201484800 is a wasteful number, since it uses less digits than its factorization.

201484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 201484800 is about 14194.5341593164. The cubic root of 201484800 is about 586.2471748644.

The spelling of 201484800 in words is "two hundred one million, four hundred eighty-four thousand, eight hundred".