290957940 has 384 divisors, whose sum is σ = 1156055040. Its totient is φ = 59097600.

The previous prime is 290957939. The next prime is 290957959. The reversal of 290957940 is 49759092.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1523245 + ... + 1523435.

It is an arithmetic number, because the mean of its divisors is an integer number (3010560).

Almost surely, 2^290957940 is an apocalyptic number.

290957940 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 290957940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578027520).

290957940 is an abundant number, since it is smaller than the sum of its proper divisors (865097100).

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

290957940 is a wasteful number, since it uses less digits than its factorization.

290957940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 290957940 is about 17057.4892642499. The cubic root of 290957940 is about 662.6386106081.

The spelling of 290957940 in words is "two hundred ninety million, nine hundred fifty-seven thousand, nine hundred forty".