420888480 has 48 divisors (see below), whose sum is σ = 1325800224. Its totient is φ = 112236800.

The previous prime is 420888469. The next prime is 420888487. The reversal of 420888480 is 84888024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×420888480² = 354294225193420800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420888487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437946 + ... + 438905.

It is an arithmetic number, because the mean of its divisors is an integer number (27620838).

Almost surely, 2^420888480 is an apocalyptic number.

420888480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420888480 is an abundant number, since it is smaller than the sum of its proper divisors (904911744).

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

420888480 is a wasteful number, since it uses less digits than its factorization.

420888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876869 (or 876861 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 420888480 is about 20515.5667725754. The cubic root of 420888480 is about 749.4149392795.

The spelling of 420888480 in words is "four hundred twenty million, eight hundred eighty-eight thousand, four hundred eighty".