874993600 has 336 divisors, whose sum is σ = 2539837440. Its totient is φ = 293990400.

The previous prime is 874993573. The next prime is 874993601. The reversal of 874993600 is 6399478.

It is a super-2 number, since 2×874993600² = 1531227600081920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874993601) 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, 14830371 + ... + 14830429.

It is an arithmetic number, because the mean of its divisors is an integer number (7559040).

Almost surely, 2^874993600 is an apocalyptic number.

874993600 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 874993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269918720).

874993600 is an abundant number, since it is smaller than the sum of its proper divisors (1664843840).

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

874993600 is a wasteful number, since it uses less digits than its factorization.

874993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 874993600 is about 29580.2907355557. The cubic root of 874993600 is about 956.4632594263.

The spelling of 874993600 in words is "eight hundred seventy-four million, nine hundred ninety-three thousand, six hundred".