5067400 has 48 divisors (see below), whose sum is σ = 12694500. Its totient is φ = 1870080.

The previous prime is 5067389. The next prime is 5067401. The reversal of 5067400 is 47605.

It can be written as a sum of positive squares in 6 ways, for example, as 1674436 + 3392964 = 1294^2 + 1842^2 .

It is not an unprimeable number, because it can be changed into a prime (5067401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 3574.

Almost surely, 2^5067400 is an apocalyptic number.

5067400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5067400 is the 1300-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5067400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347250).

5067400 is an abundant number, since it is smaller than the sum of its proper divisors (7627100).

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

5067400 is a wasteful number, since it uses less digits than its factorization.

5067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 5067400 is about 2251.0886255321. The cubic root of 5067400 is about 171.7625170356.

The spelling of 5067400 in words is "five million, sixty-seven thousand, four hundred".