48162400 has 144 divisors (see below), whose sum is σ = 138459888. Its totient is φ = 16128000.

The previous prime is 48162383. The next prime is 48162409. The reversal of 48162400 is 426184.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48162409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114190 + ... + 114610.

It is an arithmetic number, because the mean of its divisors is an integer number (961527).

Almost surely, 2^48162400 is an apocalyptic number.

48162400 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 48162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69229944).

48162400 is an abundant number, since it is smaller than the sum of its proper divisors (90297488).

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

48162400 is a wasteful number, since it uses less digits than its factorization.

48162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 48162400 is about 6939.9135441301. The cubic root of 48162400 is about 363.8335188453.

Adding to 48162400 its reverse (426184), we get a palindrome (48588584).

The spelling of 48162400 in words is "forty-eight million, one hundred sixty-two thousand, four hundred".