803561472 has 280 divisors, whose sum is σ = 2759421456. Its totient is φ = 228261888.

The previous prime is 803561441. The next prime is 803561497. The reversal of 803561472 is 274165308.

803561472 is a `hidden beast` number, since 8 + 0 + 35 + 614 + 7 + 2 = 666.

It is a super-2 number, since 2×803561472² = 1291422078565613568, which contains 22 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644778 + ... + 4644950.

Almost surely, 2^803561472 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 803561472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379710728).

803561472 is an abundant number, since it is smaller than the sum of its proper divisors (1955859984).

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

803561472 is an equidigital number, since it uses as much as digits as its factorization.

803561472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 803561472 is about 28347.1598577353. The cubic root of 803561472 is about 929.6933015726.

The spelling of 803561472 in words is "eight hundred three million, five hundred sixty-one thousand, four hundred seventy-two".