874621440 has 960 divisors, whose sum is σ = 4136520960. Its totient is φ = 165150720.

The previous prime is 874621439. The next prime is 874621511. The reversal of 874621440 is 44126478.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 874621395 and 874621404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30159346 + ... + 30159374.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876).

Almost surely, 2^874621440 is an apocalyptic number.

874621440 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 874621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

874621440 is an abundant number, since it is smaller than the sum of its proper divisors (3261899520).

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

874621440 is a wasteful number, since it uses less digits than its factorization.

874621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 874621440 is about 29573.9993913573. Note that the first 3 decimals coincide. The cubic root of 874621440 is about 956.3276363982.

Adding to 874621440 its sum of digits (36), we get a square (874621476 = 29574²).

The spelling of 874621440 in words is "eight hundred seventy-four million, six hundred twenty-one thousand, four hundred forty".