290657040 has 80 divisors (see below), whose sum is σ = 906150336. Its totient is φ = 77068800.

The previous prime is 290657033. The next prime is 290657063. The reversal of 290657040 is 40756092.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 290656992 and 290657010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40095 + ... + 46785.

Almost surely, 2^290657040 is an apocalyptic number.

290657040 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 290657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453075168).

290657040 is an abundant number, since it is smaller than the sum of its proper divisors (615493296).

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

290657040 is a wasteful number, since it uses less digits than its factorization.

290657040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 290657040 is about 17048.6668100471. Note that the first 3 decimals coincide. The cubic root of 290657040 is about 662.4101048075.

The spelling of 290657040 in words is "two hundred ninety million, six hundred fifty-seven thousand, forty".