420167920 has 80 divisors (see below), whose sum is σ = 1039674528. Its totient is φ = 157368320.

The previous prime is 420167879. The next prime is 420167963. The reversal of 420167920 is 29761024.

420167920 = T₁ + T₂ + ... + T₁₃₆₀.

420167920 is a nontrivial binomial coefficient, being equal to C(1362, 3).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is the 1360-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308040 + ... + 309400.

Almost surely, 2^420167920 is an apocalyptic number.

420167920 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 420167920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519837264).

420167920 is an abundant number, since it is smaller than the sum of its proper divisors (619506608).

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

420167920 is a wasteful number, since it uses less digits than its factorization.

420167920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 420167920 is about 20497.9979510195. The cubic root of 420167920 is about 748.9870295074.

The spelling of 420167920 in words is "four hundred twenty million, one hundred sixty-seven thousand, nine hundred twenty".