306894840 has 384 divisors, whose sum is σ = 1172102400. Its totient is φ = 63866880.

The previous prime is 306894839. The next prime is 306894869. The reversal of 306894840 is 48498603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 306894792 and 306894801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4580487 + ... + 4580553.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^306894840 is an apocalyptic number.

306894840 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 306894840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

306894840 is an abundant number, since it is smaller than the sum of its proper divisors (865207560).

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

306894840 is a wasteful number, since it uses less digits than its factorization.

306894840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 306894840 is about 17518.4143118035. The cubic root of 306894840 is about 674.5226364224.

The spelling of 306894840 in words is "three hundred six million, eight hundred ninety-four thousand, eight hundred forty".