849528480 has 48 divisors (see below), whose sum is σ = 2676016224. Its totient is φ = 226540800.

The previous prime is 849528479. The next prime is 849528481. The reversal of 849528480 is 84825948.

It is an interprime number because it is at equal distance from previous prime (849528479) and next prime (849528481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×849528480² = 1443397276662220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (849528481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884446 + ... + 885405.

It is an arithmetic number, because the mean of its divisors is an integer number (55750338).

Almost surely, 2^849528480 is an apocalyptic number.

849528480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

849528480 is an abundant number, since it is smaller than the sum of its proper divisors (1826487744).

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

849528480 is a wasteful number, since it uses less digits than its factorization.

849528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769869 (or 1769861 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 849528480 is about 29146.6718511737. The cubic root of 849528480 is about 947.0930456033.

The spelling of 849528480 in words is "eight hundred forty-nine million, five hundred twenty-eight thousand, four hundred eighty".