486626400 has 288 divisors, whose sum is σ = 1896441120. Its totient is φ = 119715840.

The previous prime is 486626389. The next prime is 486626407. The reversal of 486626400 is 4626684.

It is a happy number.

486626400 is a `hidden beast` number, since 4 + 8 + 6 + 6 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486626407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279934 + ... + 281666.

It is an arithmetic number, because the mean of its divisors is an integer number (6584865).

Almost surely, 2^486626400 is an apocalyptic number.

486626400 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 486626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948220560).

486626400 is an abundant number, since it is smaller than the sum of its proper divisors (1409814720).

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

486626400 is a wasteful number, since it uses less digits than its factorization.

486626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 486626400 is about 22059.6101506804. The cubic root of 486626400 is about 786.5600576907.

486626400 divided by its sum of digits (36) gives a triangular number (13517400 = T₅₁₉₉).

The spelling of 486626400 in words is "four hundred eighty-six million, six hundred twenty-six thousand, four hundred".