48414240 has 192 divisors, whose sum is σ = 193777920. Its totient is φ = 11059200.

The previous prime is 48414239. The next prime is 48414263. The reversal of 48414240 is 4241484.

It is a happy number.

48414240 is a `hidden beast` number, since 4 + 8 + 414 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29440 + ... + 31040.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 2^48414240 is an apocalyptic number.

48414240 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 48414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888960).

48414240 is an abundant number, since it is smaller than the sum of its proper divisors (145363680).

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

48414240 is a wasteful number, since it uses less digits than its factorization.

48414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 48414240 is about 6958.0342051473. The cubic root of 48414240 is about 364.4665755393.

The spelling of 48414240 in words is "forty-eight million, four hundred fourteen thousand, two hundred forty".