547142400 has 648 divisors, whose sum is σ = 2372348160. Its totient is φ = 117596160.

The previous prime is 547142389. The next prime is 547142419. The reversal of 547142400 is 4241745.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273571 + ... + 9273629.

Almost surely, 2^547142400 is an apocalyptic number.

547142400 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 547142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186174080).

547142400 is an abundant number, since it is smaller than the sum of its proper divisors (1825205760).

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

547142400 is a wasteful number, since it uses less digits than its factorization.

547142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 547142400 is about 23391.0752211180. The cubic root of 547142400 is about 817.8998408779.

The spelling of 547142400 in words is "five hundred forty-seven million, one hundred forty-two thousand, four hundred".