486101952 has 168 divisors, whose sum is σ = 1662653520. Its totient is φ = 138862080.

The previous prime is 486101939. The next prime is 486101969. The reversal of 486101952 is 259101684.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 81802 + ... + 87542.

Almost surely, 2^486101952 is an apocalyptic number.

486101952 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 486101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831326760).

486101952 is an abundant number, since it is smaller than the sum of its proper divisors (1176551568).

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

486101952 is a wasteful number, since it uses less digits than its factorization.

486101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 486101952 is about 22047.7198821103. The cubic root of 486101952 is about 786.2773917494.

The spelling of 486101952 in words is "four hundred eighty-six million, one hundred one thousand, nine hundred fifty-two".