48774240 has 72 divisors (see below), whose sum is σ = 166447008. Its totient is φ = 13006080.

The previous prime is 48774233. The next prime is 48774263. The reversal of 48774240 is 4247784.

48774240 = T₄₆₁ + T₄₆₂ + ... + T₇₃₀.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 48774195 and 48774204.

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 11 ways as a sum of consecutive naturals, for example, 15496 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (2311764).

Almost surely, 2^48774240 is an apocalyptic number.

48774240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48774240 is an abundant number, since it is smaller than the sum of its proper divisors (117672768).

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

48774240 is a wasteful number, since it uses less digits than its factorization.

48774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33892 (or 33881 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 48774240 is about 6983.8556686117. The cubic root of 48774240 is about 365.3677159937.

The spelling of 48774240 in words is "forty-eight million, seven hundred seventy-four thousand, two hundred forty".