833172480 has 660 divisors, whose sum is σ = 3557776068. Its totient is φ = 185794560.

The previous prime is 833172463. The next prime is 833172497. The reversal of 833172480 is 84271338.

833172480 is a `hidden beast` number, since 8 + 3 + 3 + 172 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (833172463) and next prime (833172497).

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 686859264 = 12096^2 + 26208^2 .

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 59 ways as a sum of consecutive naturals, for example, 20321260 + ... + 20321300.

Almost surely, 2^833172480 is an apocalyptic number.

833172480 is a gapful number since it is divisible by the number (80) 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 833172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778888034).

833172480 is an abundant number, since it is smaller than the sum of its proper divisors (2724603588).

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

833172480 is a wasteful number, since it uses less digits than its factorization.

833172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 833172480 is about 28864.7272635651. The cubic root of 833172480 is about 940.9754774721.

The spelling of 833172480 in words is "eight hundred thirty-three million, one hundred seventy-two thousand, four hundred eighty".