487589400 has 288 divisors, whose sum is σ = 1762722000. Its totient is φ = 120407040.

The previous prime is 487589387. The next prime is 487589407. The reversal of 487589400 is 4985784.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487589407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1812466 + ... + 1812734.

Almost surely, 2^487589400 is an apocalyptic number.

487589400 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 487589400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881361000).

487589400 is an abundant number, since it is smaller than the sum of its proper divisors (1275132600).

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

487589400 is a wasteful number, since it uses less digits than its factorization.

487589400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 487589400 is about 22081.4265843491. The cubic root of 487589400 is about 787.0785651345.

The spelling of 487589400 in words is "four hundred eighty-seven million, five hundred eighty-nine thousand, four hundred".