420297696 has 432 divisors, whose sum is σ = 1568548800. Its totient is φ = 105670656.

The previous prime is 420297677. The next prime is 420297697. The reversal of 420297696 is 696792024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420297697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5320185 + ... + 5320263.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 2^420297696 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 420297696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

420297696 is an abundant number, since it is smaller than the sum of its proper divisors (1148251104).

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

420297696 is a wasteful number, since it uses less digits than its factorization.

420297696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 420297696 is about 20501.1632840676. The cubic root of 420297696 is about 749.0641340256.

It can be divided in two parts, 420 and 297696, that added together give a square (298116 = 546²).

The spelling of 420297696 in words is "four hundred twenty million, two hundred ninety-seven thousand, six hundred ninety-six".