486424400 has 240 divisors, whose sum is σ = 1544365440. Its totient is φ = 142540800.

The previous prime is 486424397. The next prime is 486424439. The reversal of 486424400 is 4424684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523136 + ... + 524064.

It is an arithmetic number, because the mean of its divisors is an integer number (6434856).

Almost surely, 2^486424400 is an apocalyptic number.

486424400 is a gapful number since it is divisible by the number (40) 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 486424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772182720).

486424400 is an abundant number, since it is smaller than the sum of its proper divisors (1057941040).

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

486424400 is a wasteful number, since it uses less digits than its factorization.

486424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 486424400 is about 22055.0311720478. The cubic root of 486424400 is about 786.4512081904.

The spelling of 486424400 in words is "four hundred eighty-six million, four hundred twenty-four thousand, four hundred".