420105948 has 96 divisors (see below), whose sum is σ = 1074124800. Its totient is φ = 127378944.

The previous prime is 420105937. The next prime is 420106007. The reversal of 420105948 is 849501024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583933 + ... + 584651.

It is an arithmetic number, because the mean of its divisors is an integer number (11188800).

Almost surely, 2^420105948 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 420105948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537062400).

420105948 is an abundant number, since it is smaller than the sum of its proper divisors (654018852).

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

420105948 is a wasteful number, since it uses less digits than its factorization.

420105948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 420105948 is about 20496.4862354502. The cubic root of 420105948 is about 748.9502041460.

The spelling of 420105948 in words is "four hundred twenty million, one hundred five thousand, nine hundred forty-eight".