247426400 has 144 divisors (see below), whose sum is σ = 669113424. Its totient is φ = 88750080.

The previous prime is 247426397. The next prime is 247426477. The reversal of 247426400 is 4624742.

It is a super-2 number, since 2×247426400² = 122439646833920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384479 + ... + 385121.

It is an arithmetic number, because the mean of its divisors is an integer number (4646621).

Almost surely, 2^247426400 is an apocalyptic number.

247426400 is a gapful number since it is divisible by the number (20) 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 247426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334556712).

247426400 is an abundant number, since it is smaller than the sum of its proper divisors (421687024).

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

247426400 is a wasteful number, since it uses less digits than its factorization.

247426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 247426400 is about 15729.7933870728. The cubic root of 247426400 is about 627.7913759262.

The spelling of 247426400 in words is "two hundred forty-seven million, four hundred twenty-six thousand, four hundred".