420480792 has 96 divisors (see below), whose sum is σ = 1203384000. Its totient is φ = 132269760.

The previous prime is 420480761. The next prime is 420480817. The reversal of 420480792 is 297084024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518067 + ... + 518877.

It is an arithmetic number, because the mean of its divisors is an integer number (12535250).

Almost surely, 2^420480792 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 420480792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601692000).

420480792 is an abundant number, since it is smaller than the sum of its proper divisors (782903208).

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

420480792 is a wasteful number, since it uses less digits than its factorization.

420480792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 420480792 is about 20505.6283005423. The cubic root of 420480792 is about 749.1728908559.

The spelling of 420480792 in words is "four hundred twenty million, four hundred eighty thousand, seven hundred ninety-two".