291053440 has 64 divisors (see below), whose sum is σ = 699736320. Its totient is φ = 115763200.

The previous prime is 291053437. The next prime is 291053443. The reversal of 291053440 is 44350192.

It is an interprime number because it is at equal distance from previous prime (291053437) and next prime (291053443).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 291053399 and 291053408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291053443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121050 + ... + 123430.

It is an arithmetic number, because the mean of its divisors is an integer number (10933380).

Almost surely, 2^291053440 is an apocalyptic number.

291053440 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 291053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349868160).

291053440 is an abundant number, since it is smaller than the sum of its proper divisors (408682880).

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

291053440 is a wasteful number, since it uses less digits than its factorization.

291053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 291053440 is about 17060.2883914663. The cubic root of 291053440 is about 662.7111011142.

The spelling of 291053440 in words is "two hundred ninety-one million, fifty-three thousand, four hundred forty".