420684480 has 252 divisors, whose sum is σ = 1500164640. Its totient is φ = 108186624.

The previous prime is 420684463. The next prime is 420684497. The reversal of 420684480 is 84486024.

420684480 is a `hidden beast` number, since 4 + 206 + 8 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (420684463) and next prime (420684497).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5325081 + ... + 5325159.

Almost surely, 2^420684480 is an apocalyptic number.

420684480 is a gapful number since it is divisible by the number (40) 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 420684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750082320).

420684480 is an abundant number, since it is smaller than the sum of its proper divisors (1079480160).

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

420684480 is a wasteful number, since it uses less digits than its factorization.

420684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 420684480 is about 20510.5943356110. The cubic root of 420684480 is about 749.2938419965.

The spelling of 420684480 in words is "four hundred twenty million, six hundred eighty-four thousand, four hundred eighty".