874361376 has 288 divisors, whose sum is σ = 3009726720. Its totient is φ = 235395072.

The previous prime is 874361363. The next prime is 874361377. The reversal of 874361376 is 673163478.

874361376 is a `hidden beast` number, since 87 + 436 + 137 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×874361376² = 1529015631681226752, which contains 22 as substring.

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 (874361377) 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, 5054026 + ... + 5054198.

It is an arithmetic number, because the mean of its divisors is an integer number (10450440).

Almost surely, 2^874361376 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 874361376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504863360).

874361376 is an abundant number, since it is smaller than the sum of its proper divisors (2135365344).

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

874361376 is a wasteful number, since it uses less digits than its factorization.

874361376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 874361376 is about 29569.6022293165. The cubic root of 874361376 is about 956.2328407020.

The spelling of 874361376 in words is "eight hundred seventy-four million, three hundred sixty-one thousand, three hundred seventy-six".