290145240 has 320 divisors, whose sum is σ = 1216892160. Its totient is φ = 60238080.

The previous prime is 290145227. The next prime is 290145259. The reversal of 290145240 is 42541092.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 248899 + ... + 250061.

It is an arithmetic number, because the mean of its divisors is an integer number (3802788).

Almost surely, 2^290145240 is an apocalyptic number.

290145240 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 290145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608446080).

290145240 is an abundant number, since it is smaller than the sum of its proper divisors (926746920).

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

290145240 is a wasteful number, since it uses less digits than its factorization.

290145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 290145240 is about 17033.6502253627. The cubic root of 290145240 is about 662.0210773889.

It can be divided in two parts, 290 and 145240, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 290145240 in words is "two hundred ninety million, one hundred forty-five thousand, two hundred forty".