306420840 has 128 divisors (see below), whose sum is σ = 1114300800. Its totient is φ = 74280960.

The previous prime is 306420823. The next prime is 306420853. The reversal of 306420840 is 48024603.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017 + ... + 24776.

It is an arithmetic number, because the mean of its divisors is an integer number (8705475).

Almost surely, 2^306420840 is an apocalyptic number.

306420840 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 306420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557150400).

306420840 is an abundant number, since it is smaller than the sum of its proper divisors (807879960).

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

306420840 is a wasteful number, since it uses less digits than its factorization.

306420840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25824 (or 25814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 306420840 is about 17504.8804623168. The cubic root of 306420840 is about 674.1751900726.

The spelling of 306420840 in words is "three hundred six million, four hundred twenty thousand, eight hundred forty".