5370400 has 108 divisors (see below), whose sum is σ = 15362298. Its totient is φ = 1827840.

The previous prime is 5370389. The next prime is 5370403. The reversal of 5370400 is 40735.

5370400 = 126² + 127² + ... + 262².

5370400 = 84³ + 85³ + ... + 91³.

It can be written as a sum of positive squares in 3 ways, for example, as 4177936 + 1192464 = 2044^2 + 1092^2 .

It is not an unprimeable number, because it can be changed into a prime (5370403) 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, 39132 + ... + 39268.

Almost surely, 2^5370400 is an apocalyptic number.

5370400 is a gapful number since it is divisible by the number (50) 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 5370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681149).

5370400 is an abundant number, since it is smaller than the sum of its proper divisors (9991898).

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

5370400 is a wasteful number, since it uses less digits than its factorization.

5370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 5370400 is about 2317.4123500146. The cubic root of 5370400 is about 175.1199178082.

The spelling of 5370400 in words is "five million, three hundred seventy thousand, four hundred".