851472400 has 45 divisors (see below), whose sum is σ = 2047065501. Its totient is φ = 340355520.

The previous prime is 851472383. The next prime is 851472409. The reversal of 851472400 is 4274158.

The square root of 851472400 is 29180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 306530064 + 544942336 = 17508^2 + 23344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (851472409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 582871 + ... + 584329.

Almost surely, 2^851472400 is an apocalyptic number.

851472400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

851472400 is the 29180-th square number.

It is an amenable number.

851472400 is an abundant number, since it is smaller than the sum of its proper divisors (1195593101).

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

851472400 is an equidigital number, since it uses as much as digits as its factorization.

851472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The cubic root of 851472400 is about 947.8148854906.

The spelling of 851472400 in words is "eight hundred fifty-one million, four hundred seventy-two thousand, four hundred".