48174000 has 320 divisors, whose sum is σ = 188178432. Its totient is φ = 10368000.

The previous prime is 48173999. The next prime is 48174001. The reversal of 48174000 is 47184.

It is an interprime number because it is at equal distance from previous prime (48173999) and next prime (48174001).

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

It is not an unprimeable number, because it can be changed into a prime (48174001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301982 + ... + 1302018.

Almost surely, 2^48174000 is an apocalyptic number.

48174000 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 48174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089216).

48174000 is an abundant number, since it is smaller than the sum of its proper divisors (140004432).

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

48174000 is a wasteful number, since it uses less digits than its factorization.

48174000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 48174000 is about 6940.7492390952. The cubic root of 48174000 is about 363.8627264846.

The spelling of 48174000 in words is "forty-eight million, one hundred seventy-four thousand".