420167040 has 128 divisors (see below), whose sum is σ = 1364882400. Its totient is φ = 109903872.

The previous prime is 420167023. The next prime is 420167071. The reversal of 420167040 is 40761024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420167040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99696 + ... + 103824.

Almost surely, 2^420167040 is an apocalyptic number.

420167040 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 420167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682441200).

420167040 is an abundant number, since it is smaller than the sum of its proper divisors (944715360).

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

420167040 is a wasteful number, since it uses less digits than its factorization.

420167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 420167040 is about 20497.9764854973. The cubic root of 420167040 is about 748.9865066140.

The spelling of 420167040 in words is "four hundred twenty million, one hundred sixty-seven thousand, forty".