420071400 has 192 divisors, whose sum is σ = 1653763200. Its totient is φ = 96007680.

The previous prime is 420071387. The next prime is 420071413. The reversal of 420071400 is 4170024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420071387) and next prime (420071413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32244 + ... + 43356.

It is an arithmetic number, because the mean of its divisors is an integer number (8613350).

Almost surely, 2^420071400 is an apocalyptic number.

420071400 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 420071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826881600).

420071400 is an abundant number, since it is smaller than the sum of its proper divisors (1233691800).

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

420071400 is a wasteful number, since it uses less digits than its factorization.

420071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 420071400 is about 20495.6434395215. The cubic root of 420071400 is about 748.9296732608.

The spelling of 420071400 in words is "four hundred twenty million, seventy-one thousand, four hundred".