290148040 has 128 divisors (see below), whose sum is σ = 814464000. Its totient is φ = 90574848.

The previous prime is 290148011. The next prime is 290148073. The reversal of 290148040 is 40841092.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 287056 + ... + 288064.

It is an arithmetic number, because the mean of its divisors is an integer number (6363000).

Almost surely, 2^290148040 is an apocalyptic number.

290148040 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 290148040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407232000).

290148040 is an abundant number, since it is smaller than the sum of its proper divisors (524315960).

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

290148040 is a wasteful number, since it uses less digits than its factorization.

290148040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 290148040 is about 17033.7324154162. The cubic root of 290148040 is about 662.0232069581.

The spelling of 290148040 in words is "two hundred ninety million, one hundred forty-eight thousand, forty".