874164480 has 288 divisors, whose sum is σ = 3380154624. Its totient is φ = 187957248.

The previous prime is 874164469. The next prime is 874164481. The reversal of 874164480 is 84461478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874164481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456004 + ... + 457916.

It is an arithmetic number, because the mean of its divisors is an integer number (11736648).

Almost surely, 2^874164480 is an apocalyptic number.

874164480 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 874164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690077312).

874164480 is an abundant number, since it is smaller than the sum of its proper divisors (2505990144).

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

874164480 is a wasteful number, since it uses less digits than its factorization.

874164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 874164480 is about 29566.2726768188. The cubic root of 874164480 is about 956.1610578133.

The spelling of 874164480 in words is "eight hundred seventy-four million, one hundred sixty-four thousand, four hundred eighty".