48392640 has 140 divisors (see below), whose sum is σ = 172233336. Its totient is φ = 12897792.

The previous prime is 48392629. The next prime is 48392651. The reversal of 48392640 is 4629384.

It is a happy number.

48392640 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (48392629) and next prime (48392651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48392595 and 48392604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24987 + ... + 26853.

Almost surely, 2^48392640 is an apocalyptic number.

48392640 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 48392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86116668).

48392640 is an abundant number, since it is smaller than the sum of its proper divisors (123840696).

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

48392640 is a wasteful number, since it uses less digits than its factorization.

48392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48392640 is about 6956.4818694510. The cubic root of 48392640 is about 364.4123652554.

The spelling of 48392640 in words is "forty-eight million, three hundred ninety-two thousand, six hundred forty".