803050416 has 240 divisors, whose sum is σ = 2731075200. Its totient is φ = 225203328.

The previous prime is 803050379. The next prime is 803050427. The reversal of 803050416 is 614050308.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 803050416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248591 + ... + 1249233.

It is an arithmetic number, because the mean of its divisors is an integer number (11379480).

Almost surely, 2^803050416 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 803050416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365537600).

803050416 is an abundant number, since it is smaller than the sum of its proper divisors (1928024784).

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

803050416 is a wasteful number, since it uses less digits than its factorization.

803050416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 803050416 is about 28338.1441876493. The cubic root of 803050416 is about 929.4961683033.

The spelling of 803050416 in words is "eight hundred three million, fifty thousand, four hundred sixteen".