487277952 has 384 divisors, whose sum is σ = 1674432000. Its totient is φ = 124637184.

The previous prime is 487277951. The next prime is 487278007. The reversal of 487277952 is 259772784.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (1975680) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 487277895 and 487277904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487277951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10367593 + ... + 10367639.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^487277952 is an apocalyptic number.

487277952 is a gapful number since it is divisible by the number (42) 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 487277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837216000).

487277952 is an abundant number, since it is smaller than the sum of its proper divisors (1187154048).

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

487277952 is a wasteful number, since it uses less digits than its factorization.

487277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 487277952 is about 22074.3731960842. The cubic root of 487277952 is about 786.9109471505.

It can be divided in two parts, 4872 and 77952, that multiplied together give a square (379782144 = 19488²).

The spelling of 487277952 in words is "four hundred eighty-seven million, two hundred seventy-seven thousand, nine hundred fifty-two".