48354000 has 80 divisors (see below), whose sum is σ = 155912640. Its totient is φ = 12892800.

The previous prime is 48353989. The next prime is 48354043. The reversal of 48354000 is 45384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1971 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (1948908).

Almost surely, 2^48354000 is an apocalyptic number.

48354000 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 48354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77956320).

48354000 is an abundant number, since it is smaller than the sum of its proper divisors (107558640).

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

48354000 is a wasteful number, since it uses less digits than its factorization.

48354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 48354000 is about 6953.7040489224. The cubic root of 48354000 is about 364.3153488277.

Adding to 48354000 its reverse (45384), we get a palindrome (48399384).

The spelling of 48354000 in words is "forty-eight million, three hundred fifty-four thousand".