801948420 has 288 divisors, whose sum is σ = 3021887232. Its totient is φ = 167629824.

The previous prime is 801948419. The next prime is 801948431. The reversal of 801948420 is 24849108.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2833599 + ... + 2833881.

It is an arithmetic number, because the mean of its divisors is an integer number (10492664).

Almost surely, 2^801948420 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 801948420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510943616).

801948420 is an abundant number, since it is smaller than the sum of its proper divisors (2219938812).

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

801948420 is a wasteful number, since it uses less digits than its factorization.

801948420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 801948420 is about 28318.6938258105. The cubic root of 801948420 is about 929.0708027499.

The spelling of 801948420 in words is "eight hundred one million, nine hundred forty-eight thousand, four hundred twenty".