851415552 has 240 divisors, whose sum is σ = 2701186488. Its totient is φ = 256573440.

The previous prime is 851415533. The next prime is 851415601. The reversal of 851415552 is 255514158.

851415552 is a `hidden beast` number, since 85 + 14 + 15 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211527936 + 639887616 = 14544^2 + 25296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654028 + ... + 3654260.

Almost surely, 2^851415552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350593244).

851415552 is an abundant number, since it is smaller than the sum of its proper divisors (1849770936).

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

851415552 is a wasteful number, since it uses less digits than its factorization.

851415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The square root of 851415552 is about 29179.0258918971. The cubic root of 851415552 is about 947.7937916068.

The spelling of 851415552 in words is "eight hundred fifty-one million, four hundred fifteen thousand, five hundred fifty-two".