874541304 has 192 divisors, whose sum is σ = 2940887040. Its totient is φ = 228614400.

The previous prime is 874541303. The next prime is 874541309. The reversal of 874541304 is 403145478.

874541304 = T₂₂₇ + T₂₂₈ + ... + T₁₇₃₈.

874541304 is a `hidden beast` number, since 87 + 4 + 541 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874541303) 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, 831579 + ... + 832629.

It is an arithmetic number, because the mean of its divisors is an integer number (15317120).

Almost surely, 2^874541304 is an apocalyptic number.

874541304 is a gapful number since it is divisible by the number (84) 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 874541304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470443520).

874541304 is an abundant number, since it is smaller than the sum of its proper divisors (2066345736).

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

874541304 is a wasteful number, since it uses less digits than its factorization.

874541304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 874541304 is about 29572.6445215845. The cubic root of 874541304 is about 956.2984280997.

The spelling of 874541304 in words is "eight hundred seventy-four million, five hundred forty-one thousand, three hundred four".