420400608 has 24 divisors (see below), whose sum is σ = 1103551848. Its totient is φ = 140133504.

The previous prime is 420400597. The next prime is 420400609. The reversal of 420400608 is 806004024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420400609) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2189491 + ... + 2189682.

It is an arithmetic number, because the mean of its divisors is an integer number (45981327).

Almost surely, 2^420400608 is an apocalyptic number.

420400608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420400608 is an abundant number, since it is smaller than the sum of its proper divisors (683151240).

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

420400608 is a wasteful number, since it uses less digits than its factorization.

420400608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379186 (or 4379178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420400608 is about 20503.6730368000. The cubic root of 420400608 is about 749.1252664070.

The spelling of 420400608 in words is "four hundred twenty million, four hundred thousand, six hundred eight".