300470400 has 144 divisors (see below), whose sum is σ = 1072250010. Its totient is φ = 80117760.

The previous prime is 300470371. The next prime is 300470407. The reversal of 300470400 is 4074003.

300470400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 241118784 + 59351616 = 15528^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×300470400² = 180564922552320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (300470407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23584 + ... + 34016.

Almost surely, 2^300470400 is an apocalyptic number.

300470400 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 300470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536125005).

300470400 is an abundant number, since it is smaller than the sum of its proper divisors (771779610).

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

300470400 is a wasteful number, since it uses less digits than its factorization.

300470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 300470400 is about 17334.0820351122. The cubic root of 300470400 is about 669.7826576539.

The spelling of 300470400 in words is "three hundred million, four hundred seventy thousand, four hundred".