420997248 has 384 divisors, whose sum is σ = 1523733120. Its totient is φ = 108822528.

The previous prime is 420997243. The next prime is 420997259. The reversal of 420997248 is 842799024.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (420997243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5072215 + ... + 5072297.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055).

Almost surely, 2^420997248 is an apocalyptic number.

420997248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

420997248 is an abundant number, since it is smaller than the sum of its proper divisors (1102735872).

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

420997248 is a wasteful number, since it uses less digits than its factorization.

420997248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 420997248 is about 20518.2174664370. The cubic root of 420997248 is about 749.4794895087.

The spelling of 420997248 in words is "four hundred twenty million, nine hundred ninety-seven thousand, two hundred forty-eight".