202048000 has 320 divisors, whose sum is σ = 643458816. Its totient is φ = 61440000.

The previous prime is 202047997. The next prime is 202048019. The reversal of 202048000 is 840202.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927980 + ... + 4928020.

Almost surely, 2^202048000 is an apocalyptic number.

202048000 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 202048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

202048000 is an abundant number, since it is smaller than the sum of its proper divisors (441410816).

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

202048000 is an equidigital number, since it uses as much as digits as its factorization.

202048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 202048000 is about 14214.3589373563. The cubic root of 202048000 is about 586.7929021284.

Adding to 202048000 its reverse (840202), we get a palindrome (202888202).

It can be divided in two parts, 20 and 2048000, that multiplied together give a 4-th power (40960000 = 80⁴).

The spelling of 202048000 in words is "two hundred two million, forty-eight thousand".