420474096 has 120 divisors (see below), whose sum is σ = 1372456800. Its totient is φ = 120121344.

The previous prime is 420474071. The next prime is 420474097. The reversal of 420474096 is 690474024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420474096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420474097) 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, 45136 + ... + 53648.

It is an arithmetic number, because the mean of its divisors is an integer number (11437140).

Almost surely, 2^420474096 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 420474096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686228400).

420474096 is an abundant number, since it is smaller than the sum of its proper divisors (951982704).

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

420474096 is a wasteful number, since it uses less digits than its factorization.

420474096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8548 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420474096 is about 20505.4650276457. The cubic root of 420474096 is about 749.1689140684.

The spelling of 420474096 in words is "four hundred twenty million, four hundred seventy-four thousand, ninety-six".