487393200 has 450 divisors, whose sum is σ = 2041429236. Its totient is φ = 111041280.

The previous prime is 487393183. The next prime is 487393211. The reversal of 487393200 is 2393784.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587447 + ... + 1587753.

Almost surely, 2^487393200 is an apocalyptic number.

487393200 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 487393200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020714618).

487393200 is an abundant number, since it is smaller than the sum of its proper divisors (1554036036).

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

487393200 is a wasteful number, since it uses less digits than its factorization.

487393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 487393200 is about 22076.9834895984. The cubic root of 487393200 is about 786.9729807145.

The spelling of 487393200 in words is "four hundred eighty-seven million, three hundred ninety-three thousand, two hundred".