248551416 has 80 divisors (see below), whose sum is σ = 711073440. Its totient is φ = 81077760.

The previous prime is 248551411. The next prime is 248551417. The reversal of 248551416 is 614155842.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248551411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26376 + ... + 34536.

It is an arithmetic number, because the mean of its divisors is an integer number (8888418).

Almost surely, 2^248551416 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 248551416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355536720).

248551416 is an abundant number, since it is smaller than the sum of its proper divisors (462522024).

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

248551416 is a wasteful number, since it uses less digits than its factorization.

248551416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8213 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 248551416 is about 15765.5135025790. The cubic root of 248551416 is about 628.7414329812.

The spelling of 248551416 in words is "two hundred forty-eight million, five hundred fifty-one thousand, four hundred sixteen".