305161440 has 96 divisors (see below), whose sum is σ = 964516896. Its totient is φ = 81100800.

The previous prime is 305161433. The next prime is 305161457. The reversal of 305161440 is 44161503.

305161440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 305161440.

It is a congruent number.

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, 168540 + ... + 170340.

It is an arithmetic number, because the mean of its divisors is an integer number (10047051).

Almost surely, 2^305161440 is an apocalyptic number.

305161440 is a gapful number since it is divisible by the number (30) 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 305161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482258448).

305161440 is an abundant number, since it is smaller than the sum of its proper divisors (659355456).

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

305161440 is a wasteful number, since it uses less digits than its factorization.

305161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 305161440 is about 17468.8705988681. The cubic root of 305161440 is about 673.2502941960.

The spelling of 305161440 in words is "three hundred five million, one hundred sixty-one thousand, four hundred forty".