851254272 has 264 divisors, whose sum is σ = 2789684352. Its totient is φ = 257126400.

The previous prime is 851254247. The next prime is 851254279. The reversal of 851254272 is 272452158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851254279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736997 + ... + 2737307.

Almost surely, 2^851254272 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 851254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394842176).

851254272 is an abundant number, since it is smaller than the sum of its proper divisors (1938430080).

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

851254272 is a wasteful number, since it uses less digits than its factorization.

851254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 851254272 is about 29176.2621320826. The cubic root of 851254272 is about 947.7339423219.

The spelling of 851254272 in words is "eight hundred fifty-one million, two hundred fifty-four thousand, two hundred seventy-two".