290042800 has 60 divisors (see below), whose sum is σ = 708310816. Its totient is φ = 114105600.

The previous prime is 290042773. The next prime is 290042801. The reversal of 290042800 is 8240092.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (290042801) 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, 18457 + ... + 30343.

Almost surely, 2^290042800 is an apocalyptic number.

290042800 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 290042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354155408).

290042800 is an abundant number, since it is smaller than the sum of its proper divisors (418268016).

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

290042800 is a wasteful number, since it uses less digits than its factorization.

290042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 290042800 is about 17030.6429708335. The cubic root of 290042800 is about 661.9431561588.

Adding to 290042800 its reverse (8240092), we get a palindrome (298282892).

The spelling of 290042800 in words is "two hundred ninety million, forty-two thousand, eight hundred".