48940416 has 288 divisors, whose sum is σ = 178489800. Its totient is φ = 13160448.

The previous prime is 48940393. The next prime is 48940453. The reversal of 48940416 is 61404984.

48940416 = 35³ + 36³ + ... + 118³.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 2878840 + ... + 2878856.

Almost surely, 2^48940416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89244900).

48940416 is an abundant number, since it is smaller than the sum of its proper divisors (129549384).

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

48940416 is a wasteful number, since it uses less digits than its factorization.

48940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48940416 is about 6995.7427053888. The cubic root of 48940416 is about 365.7821869829.

The spelling of 48940416 in words is "forty-eight million, nine hundred forty thousand, four hundred sixteen".