420753408 has 104 divisors (see below), whose sum is σ = 1136648688. Its totient is φ = 138412032.

The previous prime is 420753401. The next prime is 420753479. The reversal of 420753408 is 804357024.

It is a super-2 number, since 2×420753408² = 354066860687228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420753401) 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 7 ways as a sum of consecutive naturals, for example, 1191760 + ... + 1192112.

Almost surely, 2^420753408 is an apocalyptic number.

420753408 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 420753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568324344).

420753408 is an abundant number, since it is smaller than the sum of its proper divisors (715895280).

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

420753408 is an equidigital number, since it uses as much as digits as its factorization.

420753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 420753408 is about 20512.2745691452. The cubic root of 420753408 is about 749.3347630097.

The spelling of 420753408 in words is "four hundred twenty million, seven hundred fifty-three thousand, four hundred eight".