420741408 has 24 divisors (see below), whose sum is σ = 1104446448. Its totient is φ = 140247104.

The previous prime is 420741407. The next prime is 420741427. The reversal of 420741408 is 804147024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×420741408³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (420741403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2191266 + ... + 2191457.

It is an arithmetic number, because the mean of its divisors is an integer number (46018602).

Almost surely, 2^420741408 is an apocalyptic number.

420741408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420741408 is an abundant number, since it is smaller than the sum of its proper divisors (683705040).

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

420741408 is a wasteful number, since it uses less digits than its factorization.

420741408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382736 (or 4382728 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 420741408 is about 20511.9820592745. The cubic root of 420741408 is about 749.3276391992.

The spelling of 420741408 in words is "four hundred twenty million, seven hundred forty-one thousand, four hundred eight".