305497840 has 80 divisors (see below), whose sum is σ = 726783840. Its totient is φ = 119398400.

The previous prime is 305497813. The next prime is 305497867. The reversal of 305497840 is 48794503.

It is an interprime number because it is at equal distance from previous prime (305497813) and next prime (305497867).

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 305497793 and 305497802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761640 + ... + 762040.

It is an arithmetic number, because the mean of its divisors is an integer number (9084798).

Almost surely, 2^305497840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305497840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363391920).

305497840 is an abundant number, since it is smaller than the sum of its proper divisors (421286000).

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

305497840 is a wasteful number, since it uses less digits than its factorization.

305497840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 305497840 is about 17478.4965028460. The cubic root of 305497840 is about 673.4975930552.

The spelling of 305497840 in words is "three hundred five million, four hundred ninety-seven thousand, eight hundred forty".