1488742416 has 240 divisors, whose sum is σ = 5199667200. Its totient is φ = 402827904.

The previous prime is 1488742399. The next prime is 1488742417. The reversal of 1488742416 is 6142478841.

1488742416 is a `hidden beast` number, since 148 + 87 + 424 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1488742417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515665 + ... + 518543.

It is an arithmetic number, because the mean of its divisors is an integer number (21665280).

Almost surely, 2^1488742416 is an apocalyptic number.

1488742416 is a gapful number since it is divisible by the number (16) 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 1488742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

1488742416 is an abundant number, since it is smaller than the sum of its proper divisors (3710924784).

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

1488742416 is a wasteful number, since it uses less digits than its factorization.

1488742416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2910 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 1488742416 is about 38584.2249630597. The cubic root of 1488742416 is about 1141.8433335876.

The spelling of 1488742416 in words is "one billion, four hundred eighty-eight million, seven hundred forty-two thousand, four hundred sixteen".