420358848 has 224 divisors, whose sum is σ = 1399641600. Its totient is φ = 110638080.

The previous prime is 420358823. The next prime is 420358867. The reversal of 420358848 is 848853024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×420358848² = 353403122183774208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 855883 + ... + 856373.

It is an arithmetic number, because the mean of its divisors is an integer number (6248400).

Almost surely, 2^420358848 is an apocalyptic number.

420358848 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 420358848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699820800).

420358848 is an abundant number, since it is smaller than the sum of its proper divisors (979282752).

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

420358848 is a wasteful number, since it uses less digits than its factorization.

420358848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 420358848 is about 20502.6546573852. The cubic root of 420358848 is about 749.1004610932.

The spelling of 420358848 in words is "four hundred twenty million, three hundred fifty-eight thousand, eight hundred forty-eight".