851463690 has 144 divisors (see below), whose sum is σ = 2613443616. Its totient is φ = 176890560.

The previous prime is 851463689. The next prime is 851463707. The reversal of 851463690 is 96364158.

It is a super-4 number, since 4×851463690⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175477 + ... + 180263.

It is an arithmetic number, because the mean of its divisors is an integer number (18148914).

Almost surely, 2^851463690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851463690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306721808).

851463690 is an abundant number, since it is smaller than the sum of its proper divisors (1761979926).

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

851463690 is a wasteful number, since it uses less digits than its factorization.

851463690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 851463690 is about 29179.8507535594. The cubic root of 851463690 is about 947.8116536396.

The spelling of 851463690 in words is "eight hundred fifty-one million, four hundred sixty-three thousand, six hundred ninety".