851948400 has 60 divisors (see below), whose sum is σ = 2729078552. Its totient is φ = 227185920.

The previous prime is 851948369. The next prime is 851948401. The reversal of 851948400 is 4849158.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851948401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353779 + ... + 356178.

Almost surely, 2^851948400 is an apocalyptic number.

851948400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

851948400 is an abundant number, since it is smaller than the sum of its proper divisors (1877130152).

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

851948400 is a wasteful number, since it uses less digits than its factorization.

851948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709978 (or 709967 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 851948400 is about 29188.1551318339. The cubic root of 851948400 is about 947.9914720876.

The spelling of 851948400 in words is "eight hundred fifty-one million, nine hundred forty-eight thousand, four hundred".