48162000 has 160 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 12249600.

The previous prime is 48161959. The next prime is 48162041. The reversal of 48162000 is 26184.

It is an interprime number because it is at equal distance from previous prime (48161959) and next prime (48162041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137826 + ... + 138174.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^48162000 is an apocalyptic number.

48162000 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 48162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

48162000 is an abundant number, since it is smaller than the sum of its proper divisors (114327600).

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

48162000 is a wasteful number, since it uses less digits than its factorization.

48162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48162000 is about 6939.8847252674. The cubic root of 48162000 is about 363.8325116017.

Adding to 48162000 its reverse (26184), we get a palindrome (48188184).

It can be divided in two parts, 481 and 62000, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 48162000 in words is "forty-eight million, one hundred sixty-two thousand".