487404400 has 120 divisors (see below), whose sum is σ = 1351396640. Its totient is φ = 165473280.

The previous prime is 487404373. The next prime is 487404419. The reversal of 487404400 is 4404784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304402 + ... + 305998.

Almost surely, 2^487404400 is an apocalyptic number.

487404400 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 487404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675698320).

487404400 is an abundant number, since it is smaller than the sum of its proper divisors (863992240).

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

487404400 is a wasteful number, since it uses less digits than its factorization.

487404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 487404400 is about 22077.2371459836. The cubic root of 487404400 is about 786.9790087221.

The spelling of 487404400 in words is "four hundred eighty-seven million, four hundred four thousand, four hundred".