290712240 has 800 divisors, whose sum is σ = 1361162880. Its totient is φ = 55738368.

The previous prime is 290712221. The next prime is 290712241. The reversal of 290712240 is 42217092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290712241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024546 + ... + 10024574.

Almost surely, 2^290712240 is an apocalyptic number.

290712240 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 290712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

290712240 is an abundant number, since it is smaller than the sum of its proper divisors (1070450640).

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

290712240 is a wasteful number, since it uses less digits than its factorization.

290712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 290712240 is about 17050.2856281061. The cubic root of 290712240 is about 662.4520359247.

290712240 divided by its sum of digits (27) gives a triangular number (10767120 = T₄₆₄₀).

The spelling of 290712240 in words is "two hundred ninety million, seven hundred twelve thousand, two hundred forty".