487334400 has 480 divisors, whose sum is σ = 1928150400. Its totient is φ = 108380160.

The previous prime is 487334383. The next prime is 487334411. The reversal of 487334400 is 4433784.

It is a tau number, because it is divible by the number of its divisors (480).

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, 13171182 + ... + 13171218.

It is an arithmetic number, because the mean of its divisors is an integer number (4016980).

Almost surely, 2^487334400 is an apocalyptic number.

487334400 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 487334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964075200).

487334400 is an abundant number, since it is smaller than the sum of its proper divisors (1440816000).

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

487334400 is an equidigital number, since it uses as much as digits as its factorization.

487334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 487334400 is about 22075.6517457583. The cubic root of 487334400 is about 786.9413321589.

The spelling of 487334400 in words is "four hundred eighty-seven million, three hundred thirty-four thousand, four hundred".