290240496 has 400 divisors, whose sum is σ = 1088930304. Its totient is φ = 72534528.

The previous prime is 290240477. The next prime is 290240537. The reversal of 290240496 is 694042092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 290240496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712475 + ... + 2712581.

Almost surely, 2^290240496 is an apocalyptic number.

290240496 is a gapful number since it is divisible by the number (26) 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 290240496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544465152).

290240496 is an abundant number, since it is smaller than the sum of its proper divisors (798689808).

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

290240496 is a wasteful number, since it uses less digits than its factorization.

290240496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 290240496 is about 17036.4461082704. The cubic root of 290240496 is about 662.0935176375.

The spelling of 290240496 in words is "two hundred ninety million, two hundred forty thousand, four hundred ninety-six".