874849920 has 384 divisors, whose sum is σ = 3440957760. Its totient is φ = 187858944.

The previous prime is 874849907. The next prime is 874849933. The reversal of 874849920 is 29948478.

It is an interprime number because it is at equal distance from previous prime (874849907) and next prime (874849933).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599087 + ... + 1599633.

Almost surely, 2^874849920 is an apocalyptic number.

874849920 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 874849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720478880).

874849920 is an abundant number, since it is smaller than the sum of its proper divisors (2566107840).

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

874849920 is a wasteful number, since it uses less digits than its factorization.

874849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 874849920 is about 29577.8619916991. The cubic root of 874849920 is about 956.4109039333.

The spelling of 874849920 in words is "eight hundred seventy-four million, eight hundred forty-nine thousand, nine hundred twenty".