486242400 has 288 divisors, whose sum is σ = 1832882688. Its totient is φ = 109670400.

The previous prime is 486242363. The next prime is 486242413. The reversal of 486242400 is 4242684.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1730260 + ... + 1730540.

It is an arithmetic number, because the mean of its divisors is an integer number (6364176).

Almost surely, 2^486242400 is an apocalyptic number.

486242400 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 486242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916441344).

486242400 is an abundant number, since it is smaller than the sum of its proper divisors (1346640288).

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

486242400 is a wasteful number, since it uses less digits than its factorization.

486242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 486242400 is about 22050.9047433433. The cubic root of 486242400 is about 786.3531100583.

The spelling of 486242400 in words is "four hundred eighty-six million, two hundred forty-two thousand, four hundred".