874253250 has 288 divisors, whose sum is σ = 2708085744. Its totient is φ = 209952000.

The previous prime is 874253249. The next prime is 874253257. The reversal of 874253250 is 52352478.

874253250 is a `hidden beast` number, since 8 + 74 + 2 + 532 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75116889 + 799136361 = 8667^2 + 28269^2 .

It is not an unprimeable number, because it can be changed into a prime (874253257) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21323230 + ... + 21323270.

Almost surely, 2^874253250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874253250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354042872).

874253250 is an abundant number, since it is smaller than the sum of its proper divisors (1833832494).

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

874253250 is an equidigital number, since it uses as much as digits as its factorization.

874253250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 874253250 is about 29567.7738424792. The cubic root of 874253250 is about 956.1934222581.

It can be divided in two parts, 874253 and 250, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 874253250 in words is "eight hundred seventy-four million, two hundred fifty-three thousand, two hundred fifty".