874429920 has 288 divisors, whose sum is σ = 3673156032. Its totient is φ = 184467456.

The previous prime is 874429909. The next prime is 874429921. The reversal of 874429920 is 29924478.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874429921) 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, 127704 + ... + 134376.

It is an arithmetic number, because the mean of its divisors is an integer number (12754014).

Almost surely, 2^874429920 is an apocalyptic number.

874429920 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 874429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836578016).

874429920 is an abundant number, since it is smaller than the sum of its proper divisors (2798726112).

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

874429920 is a wasteful number, since it uses less digits than its factorization.

874429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 874429920 is about 29570.7612347062. The cubic root of 874429920 is about 956.2578274382.

The spelling of 874429920 in words is "eight hundred seventy-four million, four hundred twenty-nine thousand, nine hundred twenty".