487580400 has 360 divisors, whose sum is σ = 1856559744. Its totient is φ = 117964800.

The previous prime is 487580377. The next prime is 487580437. The reversal of 487580400 is 4085784.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897072 + ... + 1897328.

Almost surely, 2^487580400 is an apocalyptic number.

487580400 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 487580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928279872).

487580400 is an abundant number, since it is smaller than the sum of its proper divisors (1368979344).

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

487580400 is a wasteful number, since it uses less digits than its factorization.

487580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 487580400 is about 22081.2227922278. Note that the first 3 decimals coincide. The cubic root of 487580400 is about 787.0737224323.

The spelling of 487580400 in words is "four hundred eighty-seven million, five hundred eighty thousand, four hundred".