487764 has 36 divisors (see below), whose sum is σ = 1307124. Its totient is φ = 152832.

The previous prime is 487757. The next prime is 487769. The reversal of 487764 is 467784.

487764 = T₂₃₁ + T₂₃₂ + ... + T₂₄₇.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 176400 = 558^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (487769) by changing a digit.

487764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁴⁸⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653562).

487764 is an abundant number, since it is smaller than the sum of its proper divisors (819360).

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

487764 is a wasteful number, since it uses less digits than its factorization.

487764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 487764 is about 698.4010309271. The cubic root of 487764 is about 78.7172501766.

The spelling of 487764 in words is "four hundred eighty-seven thousand, seven hundred sixty-four".