486972900 has 108 divisors (see below), whose sum is σ = 1534624000. Its totient is φ = 129159360.

The previous prime is 486972877. The next prime is 486972923. The reversal of 486972900 is 9279684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (486972877) and next prime (486972923).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177741 + ... + 180459.

Almost surely, 2^486972900 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 486972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767312000).

486972900 is an abundant number, since it is smaller than the sum of its proper divisors (1047651100).

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

486972900 is a wasteful number, since it uses less digits than its factorization.

486972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 486972900 is about 22067.4624730620. The cubic root of 486972900 is about 786.7467021732.

The spelling of 486972900 in words is "four hundred eighty-six million, nine hundred seventy-two thousand, nine hundred".