291023040 has 448 divisors, whose sum is σ = 1198522368. Its totient is φ = 58060800.

The previous prime is 291023039. The next prime is 291023059. The reversal of 291023040 is 40320192.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 291022998 and 291023016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291457 + ... + 2291583.

Almost surely, 2^291023040 is an apocalyptic number.

291023040 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 291023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599261184).

291023040 is an abundant number, since it is smaller than the sum of its proper divisors (907499328).

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

291023040 is a wasteful number, since it uses less digits than its factorization.

291023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 291023040 is about 17059.3974102253. The cubic root of 291023040 is about 662.6880273230.

The spelling of 291023040 in words is "two hundred ninety-one million, twenty-three thousand, forty".