420156000 has 288 divisors, whose sum is σ = 1628224416. Its totient is φ = 101760000.

The previous prime is 420155993. The next prime is 420156001. The reversal of 420156000 is 651024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420156001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395470 + ... + 396530.

It is an arithmetic number, because the mean of its divisors is an integer number (5653557).

Almost surely, 2^420156000 is an apocalyptic number.

420156000 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 420156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814112208).

420156000 is an abundant number, since it is smaller than the sum of its proper divisors (1208068416).

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

420156000 is a wasteful number, since it uses less digits than its factorization.

420156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 420156000 is about 20497.7071888541. The cubic root of 420156000 is about 748.9799466171.

The spelling of 420156000 in words is "four hundred twenty million, one hundred fifty-six thousand".