420172896 has 192 divisors, whose sum is σ = 1311399936. Its totient is φ = 116121600.

The previous prime is 420172877. The next prime is 420172913. The reversal of 420172896 is 698271024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743336 + ... + 1743576.

It is an arithmetic number, because the mean of its divisors is an integer number (6830208).

Almost surely, 2^420172896 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 420172896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655699968).

420172896 is an abundant number, since it is smaller than the sum of its proper divisors (891227040).

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

420172896 is a wasteful number, since it uses less digits than its factorization.

420172896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 420172896 is about 20498.1193283677. The cubic root of 420172896 is about 748.9899862179.

The spelling of 420172896 in words is "four hundred twenty million, one hundred seventy-two thousand, eight hundred ninety-six".