487430400 has 216 divisors, whose sum is σ = 1642394880. Its totient is φ = 127262720.

The previous prime is 487430387. The next prime is 487430423. The reversal of 487430400 is 4034784.

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

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 23 ways as a sum of consecutive naturals, for example, 1017361 + ... + 1017839.

It is an arithmetic number, because the mean of its divisors is an integer number (7603680).

Almost surely, 2^487430400 is an apocalyptic number.

487430400 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 487430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

487430400 is an abundant number, since it is smaller than the sum of its proper divisors (1154964480).

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

487430400 is a wasteful number, since it uses less digits than its factorization.

487430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 487430400 is about 22077.8259799284. The cubic root of 487430400 is about 786.9930019554.

The spelling of 487430400 in words is "four hundred eighty-seven million, four hundred thirty thousand, four hundred".