485376000 has 240 divisors, whose sum is σ = 1635728640. Its totient is φ = 127795200.

The previous prime is 485375941. The next prime is 485376013. The reversal of 485376000 is 673584.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×485376000² = 471179722752000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143961 + ... + 6144039.

It is an arithmetic number, because the mean of its divisors is an integer number (6815536).

Almost surely, 2^485376000 is an apocalyptic number.

485376000 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 485376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817864320).

485376000 is an abundant number, since it is smaller than the sum of its proper divisors (1150352640).

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

485376000 is an frugal number, since it uses more digits than its factorization.

485376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 485376000 is about 22031.2505319149. The cubic root of 485376000 is about 785.8857838945.

The spelling of 485376000 in words is "four hundred eighty-five million, three hundred seventy-six thousand".