420484680 has 432 divisors, whose sum is σ = 1756214460. Its totient is φ = 86929920.

The previous prime is 420484667. The next prime is 420484693. The reversal of 420484680 is 86484024.

It is an interprime number because it is at equal distance from previous prime (420484667) and next prime (420484693).

It can be written as a sum of positive squares in 2 ways, for example, as 394657956 + 25826724 = 19866^2 + 5082^2 .

It is a super-2 number, since 2×420484680² = 353614732229404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2134342 + ... + 2134538.

Almost surely, 2^420484680 is an apocalyptic number.

420484680 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 420484680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878107230).

420484680 is an abundant number, since it is smaller than the sum of its proper divisors (1335729780).

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

420484680 is a wasteful number, since it uses less digits than its factorization.

420484680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

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

The square root of 420484680 is about 20505.7231035631. The cubic root of 420484680 is about 749.1751999390.

The spelling of 420484680 in words is "four hundred twenty million, four hundred eighty-four thousand, six hundred eighty".