247130400 has 432 divisors, whose sum is σ = 947564352. Its totient is φ = 55756800.

The previous prime is 247130399. The next prime is 247130413. The reversal of 247130400 is 4031742.

247130400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247130400² = 122146869208320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6679182 + ... + 6679218.

It is an arithmetic number, because the mean of its divisors is an integer number (2193436).

Almost surely, 2^247130400 is an apocalyptic number.

247130400 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 247130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473782176).

247130400 is an abundant number, since it is smaller than the sum of its proper divisors (700433952).

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

247130400 is a wasteful number, since it uses less digits than its factorization.

247130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 247130400 is about 15720.3816747559. The cubic root of 247130400 is about 627.5409305428.

The spelling of 247130400 in words is "two hundred forty-seven million, one hundred thirty thousand, four hundred".