287426400 has 288 divisors, whose sum is σ = 1007935488. Its totient is φ = 70963200.

The previous prime is 287426393. The next prime is 287426401. The reversal of 287426400 is 4624782.

It is a super-2 number, since 2×287426400² = 165227870833920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287426401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2263137 + ... + 2263263.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 2^287426400 is an apocalyptic number.

287426400 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 287426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503967744).

287426400 is an abundant number, since it is smaller than the sum of its proper divisors (720509088).

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

287426400 is a wasteful number, since it uses less digits than its factorization.

287426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 287426400 is about 16953.6544732987. The cubic root of 287426400 is about 659.9467358301.

The spelling of 287426400 in words is "two hundred eighty-seven million, four hundred twenty-six thousand, four hundred".